(d) State whether the following sequences are arithmetic, geometric or not any of them. Find the common ratio if it is a geometric sequence and find the common difference d if it is an arithmetic sequence. Then, find the next two terms. i. -3, 3, -3, 3 ii. b, = n2 + 3 ii. 글, 긍, 긍 (e) Consider the geometric sequence (b,) with by = and q = 3. Is 243 a term of this sequence? (f) The nineteenth term of a sequence is -52, and the fourth term is -7. The difference between consecutive terms in the sequence is constant. Find the 201 term.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(d) State whether the following sequences are arithmetic, geometric or not
any of them. Find the common ratio if it is a geometric sequence and find
the common difference d if it is an arithmetic sequence. Then, find the
next two terms.
i. -3, 3, -3, 3
ii. b, = n2 + 3
ii. 글, 글, 긍
%3D
and q = 3. Is 243 a
(e) Consider the geometric sequence (b,) with bị
term of this sequence?
%3D
(f) The nineteenth term of a sequence is -52, and the fourth term is -7. The
difference between consecutive terms in the sequence is constant. Find
the 201 term.
(g) Show whether the following sequence is convergent or divergent.
lim,(",)
(h) Is the following numbers 1,-4,9,-16,... represent a sequence, if so, find a
formula for the nh term of the sequence.
(i) Show by mathematical induction that for all positive integers n,
+ +. + = 1-
(1) Find the remainder when 3123 is divided by 7.
Transcribed Image Text:(d) State whether the following sequences are arithmetic, geometric or not any of them. Find the common ratio if it is a geometric sequence and find the common difference d if it is an arithmetic sequence. Then, find the next two terms. i. -3, 3, -3, 3 ii. b, = n2 + 3 ii. 글, 글, 긍 %3D and q = 3. Is 243 a (e) Consider the geometric sequence (b,) with bị term of this sequence? %3D (f) The nineteenth term of a sequence is -52, and the fourth term is -7. The difference between consecutive terms in the sequence is constant. Find the 201 term. (g) Show whether the following sequence is convergent or divergent. lim,(",) (h) Is the following numbers 1,-4,9,-16,... represent a sequence, if so, find a formula for the nh term of the sequence. (i) Show by mathematical induction that for all positive integers n, + +. + = 1- (1) Find the remainder when 3123 is divided by 7.
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