Identify the sequences as arithmetic or geometric. a. 2, 6, 18, 54, 162 b. 1,...

Joanna Benson

Joanna Benson

Answered

2022-01-06

Identify the sequences as arithmetic or geometric.
a. 2, 6, 18, 54, 162
b. 1, 8 ,15, 22, 29
c. 11, 15, 19, 23, 27

Answer & Explanation

ambarakaq8

ambarakaq8

Expert

2022-01-07Added 31 answers

(a) Given sequence is 2,6,18,54,162
Ratio of two consecutive terms is constant. Therefore, sequence is geometric and common ratio is r=62, that is r=3
Next term can be obtained by multiplying the previous term by r. Therefore, next three terms are
162×3=486
486×3=1458
1458×3=4374
(b) Given sequence is 1,8,15,22,29
Difference of two consecutive terms is constant. Therefore, sequence is arithmetic and common difference is d=81=7,
Next term can be obtained by adding the previous term by d. Therefore, next three terms are:
29+7=36
36+7=43
43+7=50
(c) Given sequence is 11,15,19,23,27
Difference of two consecutive terms is constant. thus, sequence is arithmetic and common difference is d=1511=4.
Next term can be obtained by adding the previous term by d. Therefore, next three terms are:
27+4=31
31+4=35
35+4=39

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?