Find the 23rd term of the Arithmetic Progression -7, -3, 1, . . .*

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the 23rd term of the Arithmetic Progression -7, -3, 1, . . .*
 
 
 
88
 
 
 
60
 
 
 
4
 
 
 
81
Find the sum to infinity to the following Geometric Progression 9, -6, 4, . . .*
 
 
 
5
 
 
 
5 ⅖
 
 
 
4 ¾
 
 
 
5 ⅕
Determine the sequence of (4n² - 6n) for 0 ≤ n ≤ 2, where n is a whole number.*
 
 
 
-6, -2, 2
 
 
 
0, -2, 4
 
 
 
0, 1, 2
 
 
 
1, 4, -6
If a = 10 and d = 3 for an Arithmetic Progression, find an expression for the nth term.*
 
 
 
10 + 3n
 
 
 
3 - 10n
 
 
 
10 + (n - 1)
 
 
 
7 + 3n
How many terms are there in the following Arithmetic Progression -10 - 7 - 4 - ... + 50?*
 
 
 
12
 
 
 
13
 
 
 
19
 
 
 
21
Which of the following series is a Geometric Progression?*
 
 
 
20 + 17 + 14 +.....+ 2
 
 
 
2 + 7 + 12 + ... + 77
 
 
 
1 + 1⅙ + 1⅓ + ... + 4½
 
 
 
4 + 8 + 16 + ... + 256
What is the common ratio in the following series 160 + 80 + 40 + 20 + 10 + 5?*
 
 
 
2/3
 
 
 
40
 
 
 
2
 
 
 
1/2
In the sequence 4, 13, 28, 49, ... the general term is :*
 
 
 
3n + 1
 
 
 
5n + 3
 
 
 
n^2 + 1
 
 
 
3n^2 + 1
The fifth term of an AP. is 16 and the third term is 4. Find the find the first term.*
 
 
 
2
 
 
 
-8
 
 
 
12
 
 
 
6
The first term of a geometric progression is 10 and the fourth term is 270. Find the common ratio.*
 
 
 
-3
 
 
 
10
 
 
 
3
 
 
 
9
The third term of the A. P is 5 and the eight term is 10. Find the fifth term.*
 
 
 
7
 
 
 
5
 
 
 
3
 
 
 
1
Which of the following is an Arithmetic Progression?*
 
 
 
2, 4, 8 ....
 
 
 
1, 3/2, 2 ....
 
 
 
6, 3, 1.5 ...
 
 
 
2, 7, 10 ....
Which of the following is NOT an Arithmetic Progression?*
 
 
 
7, 37, 67, 97......
 
 
 
10, 5, 0, -5....
 
 
 
5, 9, 13, 17....
 
 
 
3, 1, ⅓, 1/9
Identify ¼,  ⅛ , 1/16 ...... as an example of which sequence?*
 
 
 
Arithmetic
 
 
 
Geometric
 
 
 
Harmonic
 
 
 
None of the above
3, 5, 7 ..... 21 is an example of:*
 
 
 
An infinite sequence
 
 
 
An arithmetic progression
 
 
 
A geometric progression
 
 
 
An infinite series
Find the sum of the first 7 terms of the geometric sequence with first term 5 and common ratio 2.*
 
 
 
63
 
 
 
128
 
 
 
135
 
 
 
635
Find the 7th term of the following G.P. 10 + 25 + ...*
 
 
 
100
 
 
 
108
 
 
 
900
 
 
 
2441
What are the first four terms of a sequence whose general term is given by Tn = 2^n.*
 
 
 
4, 8, 16, 32
 
 
 
1, 4, 9, 16
 
 
 
1, 2, 4, 8
 
 
 
2, 4, 8, 16
 
 
 
 
 
 
The 4th tern of a geometric progression is 250 and the 7th term is 31,250. Find the: (i) first term and the common ratio. (ii) sum of the first ten terms.*
 
 
 
 
In an arithmetic progression, the sixth term is 23 and the eight term is 31. (i) Find the first term and the common diffrence. (ii) Find the sum of the first twenty-four terms of the sequence.*
 
 
 
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