A. Determine if the sequence is arithmetic. If it is, find the common difference. 1) 35, 32, 29, 26, ... 2) -34, -64, -94, -124, ... 3) -3, -23, -43, -63,...
A. Determine if the sequence is arithmetic. If it is, find the common difference. 1) 35, 32, 29, 26, ... 2) -34, -64, -94, -124, ... 3) -3, -23, -43, -63,...
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 9T
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Transcribed Image Text:PROBLEM SET NO. 1
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A. Determine if the sequence is arithmetic. If it is, find the common difference.
1) 35, 32, 29, 26, ...
2) -34, -64, -94, -124, ...
3) -3, -23, -43, -63,...
B. Find the first five terms and the term asked in the problem.
4) an= -11 + 7n, find a34
5) an = 65 – 100n, find a39
6) an = -7.1 - 2.1n, find a27
C. Write the last four terms before an of the arithmetic sequence in which an and d are as
follows.
7) an = -7, d = 6
8) an = 36, d = -5
9) an = 5, d = 10
%3D
D. Tell whether each of the following is an arithmetic sequence or not. In those sequences
which are arithmetic sequences, find the common difference and write the next two terms.
10) -2, 3, 8, ..
.....
11) 5, -1, -7,
.....
12) -9х, -2х, 5х, ....
E. In each of the following, insert the indicated number of arithmetic means between the
two given numbers.
13)insert 4 means between -6 and 24
14)insert 43 means between 36 and 48
F. Find the term indicated in each of the following sequences.
15) 58th term of 10, 4, -2, ..
16) 13th term of 8, 13, 18, .
17)How many terms are there in the sequence -13, -8, -3, 2,
.........
18)How many terms are there in the sequence 9, 33, 57, 81, . ., 633?
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