List three terms that continue the arithmetic or geometric sequences

Finley Mckinney

Finley Mckinney

Answered question

2022-06-23

List three terms that continue the arithmetic or geometric sequences and identify whether the sequences is arithmetic or geometric.
а. 3, 9, 27, 81, 243
b. 1, 12, 23, 34, 45
с. 11, 14, 17, 20, 23

Answer & Explanation

Alisa Gilmore

Alisa Gilmore

Beginner2022-06-24Added 22 answers

а . 3 , 9 , 27 , 81 , 243
Since the ratio of two consecutive terms of the series is a constant, it is a geometric sequence
9 3 = 27 9 = 81 27 = 3
Formula for n-th term of a geometric sequence:
a n = a 1 r n 1
a 1 is the first term = 3
Thus, next three terms are:
a 6 = a 1 r 5 = 3 ( 3 ) 5 = 129
a 7 = a 1 r 6 = 3 ( 3 ) 6 = 2187
a 8 = a 1 r 7 = 3 ( 3 ) 7 = 6561

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

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

Didn't find what you were looking for?