How many terms are there in the G.P. 3,

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

How many terms are there in the G.P.

3, 6, 12, 24....... 384?

Options:

Correct Answer:

Explanation:

Tn = ar^(n-1), where n is the position of the term.

We want to find the nth term, so we substitute a = 3, and r = 2 into the formula:

384 = 3 × 2^(n-1)

= 2^(n-1) = 128

= 2^(n-1) = 2⁷

n – 1 = 7

n = 8