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Question

The 7th term of the GP 2,6,18,... is .


Correct Answer
A
1458
Your Answer
B
1458
Your Answer
C
4374
Your Answer
D
-4374

Solution

The correct option is A 1458
Given the GP2,6,18,...
The first term and the common ratio of the GP are 2 and -3 respectively.
The nth term of a GP of first term a and common ratio r is given by
an=arn1.
Thus, a7=ar6=2(3)6=1458.

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