226k views
5 votes
What is the next term in the multiplication or ,geometric , pattern that begins 13, 39, 117

1 Answer

5 votes

Answer:

Next term of the sequence is 351.

Explanation:

The given sequence is 13, 39, 117, A.In this sequence we have to find out the next term A of the sequence.

First we will understand whether the sequence is arithmetic or geometric sequence.

Sequence is in the form of 13, 3.(13), 3²(13).....

Therefore the sequence is a geometric sequence having common ratio r = Second term/first term = Third term/Second term

r = 3×13/13 = 3

Therefore nth term of the sequence
T_(n)=ar^(n-1)


T_(n)=13.(3)^(n-1)

Since we have to find fourth term A which will be


T_(4)=A=13(3)^(4-1)=13(3)^(3)

A = 13×27 = 351

Next term of the sequence is 351.

User Bounz
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories