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...
Related questions
Question
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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