Explanation An arithmetic sequence is determined by its first term and the difference. The general term for the sequence: a 1 , a 1 + d , a 1 + 2 d , a 1 + 3 d + .... In an arithmetic sequence the nth term is t n = a + ( n − 1 ) d a is the first term of an arithmetic sequence. d is the difference Calculation: Given: 0 , − 5 , − 10 , ... Now we have to find the first term and difference. a 1 = 0 d = a 2 − a 1 = − 5 − 0 = − 5 d = a 3 − a 2 = − 10 − ( − 5 ) = − 10 + 5 = − 5 To find the (i) 100th term: To determine (b) To find: The value of (i) 100th term, (ii) n th term for the arithmetic sequence 1 + 2 , 1 − 2 , ... . To determine (c) To find: The value of (i) 100th term, (ii) n th term for the arithmetic sequence x + 3 , 2 x + 3 3 , ...

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ISBN: 9780137657988

Author: BILLSTEIN

Publisher: INTER PEAR

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 8.2B, Problem 11A

To determine

(a)

To find:

The value of (i) 100th term, (ii) nth term for the arithmetic sequence 0,−5,−10,....

To determine

(b)

To find:

The value of (i) 100th term, (ii) nth term for the arithmetic sequence 1+2,1−2,....

To determine

(c)

To find:

The value of (i) 100th term, (ii) nth term for the arithmetic sequence x+3,2x+33,...

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Chapter 8.2B, Problem 10A

Chapter 8.2B, Problem 12A

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Chapter 8 Solutions

PROB SOLV APPROACH FOR TEACHERS MYLAB

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(a) To find: The value of (i) 100th term, (ii) n th term for the arithmetic sequence 0 , − 5 , − 10 , ... .

Solution Summary: The author explains that an arithmetic sequence is determined by its first term and the difference.

Concept explainers

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(a)

To find:

The value of (i) 100th term, (ii) nth term for the arithmetic sequence 0,−5,−10,....

(b)

To find:

The value of (i) 100th term, (ii) nth term for the arithmetic sequence 1+2,1−2,....

(c)

To find:

The value of (i) 100th term, (ii) nth term for the arithmetic sequence x+3,2x+33,...

Want to see the full answer?

Chapter 8 Solutions

(a) To find: The value of (i) 100th term, (ii) n th term for the arithmetic sequence 0 , − 5 , − 10 , ... .

Solution Summary: The author explains that an arithmetic sequence is determined by its first term and the difference.

Concept explainers

Videos

(a) To find: The value of (i) 100th term, (ii) nth term for the arithmetic sequence 0,−5,−10,....

(b) To find: The value of (i) 100th term, (ii) nth term for the arithmetic sequence 1+2,1−2,....

(c) To find: The value of (i) 100th term, (ii) nth term for the arithmetic sequence x+3,2x+33,...

Want to see the full answer?

Chapter 8 Solutions

(a)

To find:

The value of (i) 100th term, (ii) nth term for the arithmetic sequence 0,−5,−10,....

(b)

To find:

The value of (i) 100th term, (ii) nth term for the arithmetic sequence 1+2,1−2,....

(c)

To find:

The value of (i) 100th term, (ii) nth term for the arithmetic sequence x+3,2x+33,...