Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Chapter 10.4, Problem 7MCQ
To determine

To find the sun of arithmetic series

  −15+(−11)+(−7)+.....+53

Expert Solution & Answer
Check Mark

Answer to Problem 7MCQ

The sun of arithmetic series is 342.

Explanation of Solution

Given:

  −15+(−11)+(−7)+.....+53

Concept Used:

The sum of the first n terms of an arithmetic series use the formula: sn=n(a1+an)2 .

Calculation:

In order to find sum of arithmetic series

  −15+(−11)+(−7)+.....+53

Use the formula for nth term of an arithmetic sequence with first term a and common term d is: an=a+(n−1)d .

Here, given that first term is -15 and common difference is

  d=a2−a1=−11−(−15)=−11+15=4

Given that an=53 and nth term is

  an=a+(n−1)d53=−15+(n−1)(4)53+15=4n−468=4n−468+4=4n72=4nn=18

The sum of the first n terms of an arithmetic series use the formula: sn=n(a1+an)2 .

To find sum of arithmetic series s16 , as

  s18=18(−15+53)2s16=18(38)2s14=6842s14=342

Thus, the sun of arithmetic series is 342.

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Chapter 10.4, Problem 6MCQ
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Chapter 10.4, Problem 8MCQ

Chapter 10 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 10.1 - Prob. 1AGPCh. 10.1 - Prob. 1BGPCh. 10.1 - Prob. 2GPCh. 10.1 - Prob. 3GPCh. 10.1 - Prob. 4AGPCh. 10.1 - Prob. 4BGPCh. 10.1 - Prob. 5GPCh. 10.1 - Prob. 6AGPCh. 10.1 - Prob. 6BGPCh. 10.1 - Prob. 6CGP
Ch. 10.1 - Prob. 1CYUCh. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYUCh. 10.1 - Prob. 6CYUCh. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10CYUCh. 10.1 - Prob. 11CYUCh. 10.1 - Prob. 12CYUCh. 10.1 - Prob. 13CYUCh. 10.1 - Prob. 14CYUCh. 10.1 - Prob. 15CYUCh. 10.1 - Prob. 16CYUCh. 10.1 - Prob. 17CYUCh. 10.1 - Prob. 18CYUCh. 10.1 - Prob. 19CYUCh. 10.1 - Prob. 20CYUCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42PPSCh. 10.1 - Prob. 43PPSCh. 10.1 - Prob. 44PPSCh. 10.1 - Prob. 45PPSCh. 10.1 - Prob. 46PPSCh. 10.1 - Prob. 47PPSCh. 10.1 - Prob. 48PPSCh. 10.1 - Prob. 49PPSCh. 10.1 - Prob. 50PPSCh. 10.1 - Prob. 51PPSCh. 10.1 - Prob. 52PPSCh. 10.1 - Prob. 53PPSCh. 10.1 - Prob. 54HPCh. 10.1 - Prob. 55HPCh. 10.1 - Prob. 56HPCh. 10.1 - Prob. 57HPCh. 10.1 - Prob. 58HPCh. 10.1 - Prob. 59HPCh. 10.1 - Prob. 60HPCh. 10.1 - Prob. 61STPCh. 10.1 - Prob. 62STPCh. 10.1 - Prob. 63STPCh. 10.1 - Prob. 64STPCh. 10.1 - Prob. 65SRCh. 10.1 - Prob. 66SRCh. 10.1 - Prob. 67SRCh. 10.1 - Prob. 68SRCh. 10.1 - Prob. 69SRCh. 10.1 - Prob. 70SRCh. 10.1 - Prob. 71SRCh. 10.1 - Prob. 72SRCh. 10.1 - Prob. 73SRCh. 10.1 - Prob. 74SRCh. 10.1 - Prob. 75SCh. 10.1 - Prob. 76SCh. 10.1 - Prob. 77SCh. 10.1 - Prob. 78SCh. 10.1 - Prob. 79SCh. 10.1 - Prob. 80SCh. 10.2 - Prob. 1AGPCh. 10.2 - Prob. 1BGPCh. 10.2 - Prob. 2AGPCh. 10.2 - Prob. 2BGPCh. 10.2 - Prob. 3GPCh. 10.2 - Prob. 4AGPCh. 10.2 - Prob. 4BGPCh. 10.2 - Prob. 5AGPCh. 10.2 - Prob. 5BGPCh. 10.2 - Prob. 6GPCh. 10.2 - Prob. 1CYUCh. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Prob. 4CYUCh. 10.2 - 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Prob. 98SCh. 10.2 - Prob. 99SCh. 10.2 - Prob. 100SCh. 10.3 - Prob. 1GPCh. 10.3 - Prob. 2AGPCh. 10.3 - Prob. 2BGPCh. 10.3 - Prob. 3GPCh. 10.3 - Prob. 4AGPCh. 10.3 - Prob. 4BGPCh. 10.3 - Prob. 5AGPCh. 10.3 - Prob. 5BGPCh. 10.3 - Prob. 6GPCh. 10.3 - Prob. 1CYUCh. 10.3 - Prob. 2CYUCh. 10.3 - Prob. 3CYUCh. 10.3 - Prob. 4CYUCh. 10.3 - Prob. 5CYUCh. 10.3 - Prob. 6CYUCh. 10.3 - Prob. 7CYUCh. 10.3 - Prob. 8CYUCh. 10.3 - Prob. 9CYUCh. 10.3 - Prob. 10CYUCh. 10.3 - Prob. 11CYUCh. 10.3 - Prob. 12CYUCh. 10.3 - Prob. 13CYUCh. 10.3 - Prob. 14CYUCh. 10.3 - Prob. 15CYUCh. 10.3 - Prob. 16CYUCh. 10.3 - Prob. 17PPSCh. 10.3 - Prob. 18PPSCh. 10.3 - Prob. 19PPSCh. 10.3 - Prob. 20PPSCh. 10.3 - Prob. 21PPSCh. 10.3 - Prob. 22PPSCh. 10.3 - Prob. 23PPSCh. 10.3 - Prob. 24PPSCh. 10.3 - Prob. 25PPSCh. 10.3 - Prob. 26PPSCh. 10.3 - Prob. 27PPSCh. 10.3 - Prob. 28PPSCh. 10.3 - Prob. 29PPSCh. 10.3 - Prob. 30PPSCh. 10.3 - Prob. 31PPSCh. 10.3 - Prob. 32PPSCh. 10.3 - Prob. 33PPSCh. 10.3 - Prob. 34PPSCh. 10.3 - Prob. 35PPSCh. 10.3 - Prob. 36PPSCh. 10.3 - Prob. 37PPSCh. 10.3 - Prob. 38PPSCh. 10.3 - Prob. 39PPSCh. 10.3 - Prob. 40PPSCh. 10.3 - Prob. 41PPSCh. 10.3 - Prob. 42PPSCh. 10.3 - Prob. 43PPSCh. 10.3 - Prob. 44PPSCh. 10.3 - Prob. 45PPSCh. 10.3 - Prob. 46PPSCh. 10.3 - Prob. 47PPSCh. 10.3 - Prob. 48PPSCh. 10.3 - Prob. 49PPSCh. 10.3 - Prob. 50PPSCh. 10.3 - Prob. 51PPSCh. 10.3 - Prob. 52PPSCh. 10.3 - Prob. 53PPSCh. 10.3 - Prob. 54PPSCh. 10.3 - Prob. 55PPSCh. 10.3 - Prob. 56PPSCh. 10.3 - Prob. 57PPSCh. 10.3 - Prob. 58PPSCh. 10.3 - Prob. 59PPSCh. 10.3 - Prob. 60PPSCh. 10.3 - Prob. 61PPSCh. 10.3 - Prob. 62PPSCh. 10.3 - Prob. 63PPSCh. 10.3 - Prob. 64HPCh. 10.3 - Prob. 65HPCh. 10.3 - Prob. 66HPCh. 10.3 - Prob. 67HPCh. 10.3 - Prob. 68HPCh. 10.3 - Prob. 69HPCh. 10.3 - Prob. 70HPCh. 10.3 - Prob. 71HPCh. 10.3 - Prob. 72HPCh. 10.3 - Prob. 73STPCh. 10.3 - Prob. 74STPCh. 10.3 - Prob. 75STPCh. 10.3 - Prob. 76STPCh. 10.3 - Prob. 77SRCh. 10.3 - Prob. 78SRCh. 10.3 - Prob. 79SRCh. 10.3 - Prob. 80SRCh. 10.3 - Prob. 81SRCh. 10.3 - Prob. 82SRCh. 10.3 - Prob. 83SRCh. 10.3 - Prob. 84SRCh. 10.3 - Prob. 85SRCh. 10.3 - Prob. 86SCh. 10.3 - Prob. 87SCh. 10.3 - Prob. 88SCh. 10.3 - Prob. 89SCh. 10.4 - Prob. 1AGPCh. 10.4 - Prob. 1BGPCh. 10.4 - Prob. 2AGPCh. 10.4 - Prob. 2BGPCh. 10.4 - Prob. 3GPCh. 10.4 - Prob. 4GPCh. 10.4 - Prob. 1CYUCh. 10.4 - Prob. 2CYUCh. 10.4 - Prob. 3CYUCh. 10.4 - Prob. 4CYUCh. 10.4 - Prob. 5CYUCh. 10.4 - Prob. 6CYUCh. 10.4 - Prob. 7CYUCh. 10.4 - Prob. 8CYUCh. 10.4 - Prob. 9CYUCh. 10.4 - Prob. 10CYUCh. 10.4 - Prob. 11CYUCh. 10.4 - Prob. 12CYUCh. 10.4 - Prob. 13CYUCh. 10.4 - Prob. 14CYUCh. 10.4 - Prob. 15CYUCh. 10.4 - Prob. 16PPSCh. 10.4 - Prob. 17PPSCh. 10.4 - Prob. 18PPSCh. 10.4 - Prob. 19PPSCh. 10.4 - Prob. 20PPSCh. 10.4 - Prob. 21PPSCh. 10.4 - Prob. 22PPSCh. 10.4 - Prob. 23PPSCh. 10.4 - Prob. 24PPSCh. 10.4 - Prob. 25PPSCh. 10.4 - Prob. 26PPSCh. 10.4 - Prob. 27PPSCh. 10.4 - Prob. 28PPSCh. 10.4 - Prob. 29PPSCh. 10.4 - Prob. 30PPSCh. 10.4 - Prob. 31PPSCh. 10.4 - Prob. 32PPSCh. 10.4 - Prob. 33PPSCh. 10.4 - Prob. 34PPSCh. 10.4 - Prob. 35PPSCh. 10.4 - Prob. 36PPSCh. 10.4 - Prob. 37PPSCh. 10.4 - Prob. 38PPSCh. 10.4 - Prob. 39PPSCh. 10.4 - Prob. 40PPSCh. 10.4 - Prob. 41PPSCh. 10.4 - Prob. 42PPSCh. 10.4 - Prob. 43PPSCh. 10.4 - Prob. 44PPSCh. 10.4 - Prob. 45PPSCh. 10.4 - Prob. 46PPSCh. 10.4 - Prob. 47PPSCh. 10.4 - Prob. 48PPSCh. 10.4 - Prob. 49PPSCh. 10.4 - Prob. 50PPSCh. 10.4 - Prob. 51PPSCh. 10.4 - Prob. 52PPSCh. 10.4 - Prob. 53PPSCh. 10.4 - Prob. 54PPSCh. 10.4 - Prob. 55PPSCh. 10.4 - Prob. 56PPSCh. 10.4 - Prob. 57PPSCh. 10.4 - Prob. 58PPSCh. 10.4 - Prob. 59PPSCh. 10.4 - Prob. 60HPCh. 10.4 - Prob. 61HPCh. 10.4 - Prob. 62HPCh. 10.4 - Prob. 63HPCh. 10.4 - Prob. 64HPCh. 10.4 - Prob. 65HPCh. 10.4 - Prob. 66HPCh. 10.4 - Prob. 67HPCh. 10.4 - Prob. 68STPCh. 10.4 - Prob. 69STPCh. 10.4 - Prob. 70STPCh. 10.4 - Prob. 71STPCh. 10.4 - Prob. 72SRCh. 10.4 - Prob. 73SRCh. 10.4 - Prob. 74SCh. 10.4 - Prob. 75SCh. 10.4 - Prob. 76SCh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 1MCQCh. 10.4 - Prob. 2MCQCh. 10.4 - Prob. 3MCQCh. 10.4 - Prob. 4MCQCh. 10.4 - Prob. 5MCQCh. 10.4 - Prob. 6MCQCh. 10.4 - Prob. 7MCQCh. 10.4 - Prob. 8MCQCh. 10.4 - Prob. 9MCQCh. 10.4 - Prob. 10MCQCh. 10.4 - Prob. 11MCQCh. 10.4 - Prob. 12MCQCh. 10.4 - Prob. 13MCQCh. 10.4 - Prob. 14MCQCh. 10.4 - Prob. 15MCQCh. 10.4 - Prob. 16MCQCh. 10.4 - Prob. 17MCQCh. 10.4 - Prob. 18MCQCh. 10.4 - Prob. 19MCQCh. 10.4 - Prob. 20MCQCh. 10.5 - Prob. 1GPCh. 10.5 - Prob. 2AGPCh. 10.5 - Prob. 2BGPCh. 10.5 - Prob. 2CGPCh. 10.5 - Prob. 3GPCh. 10.5 - Prob. 4GPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6CYUCh. 10.5 - Prob. 7CYUCh. 10.5 - Prob. 8CYUCh. 10.5 - Prob. 9CYUCh. 10.5 - Prob. 10CYUCh. 10.5 - Prob. 11CYUCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - 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Prob. 68SCh. 10.5 - Prob. 69SCh. 10.6 - Prob. 1GPCh. 10.6 - Prob. 2GPCh. 10.6 - Prob. 3GPCh. 10.6 - Prob. 4GPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8CYUCh. 10.6 - Prob. 9CYUCh. 10.6 - Prob. 10CYUCh. 10.6 - Prob. 11CYUCh. 10.6 - Prob. 12CYUCh. 10.6 - Prob. 13CYUCh. 10.6 - Prob. 14CYUCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23PPSCh. 10.6 - Prob. 24PPSCh. 10.6 - Prob. 25PPSCh. 10.6 - Prob. 26PPSCh. 10.6 - Prob. 27PPSCh. 10.6 - Prob. 28PPSCh. 10.6 - Prob. 29PPSCh. 10.6 - Prob. 30PPSCh. 10.6 - Prob. 31PPSCh. 10.6 - Prob. 32PPSCh. 10.6 - Prob. 33PPSCh. 10.6 - Prob. 34HPCh. 10.6 - Prob. 35HPCh. 10.6 - Prob. 36HPCh. 10.6 - Prob. 37HPCh. 10.6 - Prob. 38HPCh. 10.6 - Prob. 39STPCh. 10.6 - Prob. 40STPCh. 10.6 - Prob. 41STPCh. 10.6 - 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