A geometric sequence has 20 terms, with the first four terms given below. 418.5, 279, 186, 124,... a) Find r, the common ratio of the sequence. Give your answer as a fraction. b) Find us, the fifth term of the sequence. Give your answer as a fraction. c) Find the smallest term in the sequence that is an integer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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A geometric sequence has 20 terms, with the first four terms given below.
418.5, 279, 186, 124,...
a) Find r, the common ratio of the sequence. Give your answer as a
fraction.
b) Find us, the fifth term of the sequence. Give your answer as a
fraction.
c) Find the smallest term in the sequence that is an integer.
d) Find S10, the sum of the first 10 terms of the sequence. Give your
answer correct to one decimal place.
Transcribed Image Text:A geometric sequence has 20 terms, with the first four terms given below. 418.5, 279, 186, 124,... a) Find r, the common ratio of the sequence. Give your answer as a fraction. b) Find us, the fifth term of the sequence. Give your answer as a fraction. c) Find the smallest term in the sequence that is an integer. d) Find S10, the sum of the first 10 terms of the sequence. Give your answer correct to one decimal place.
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