Let the first three terms 2, p and q, with q ≠ 2, of a G.P. be respectively the 7^(th), 8^(th) and 13^(th) terms of an A.P. If the 5^(th) term of the G.P. is the n^(th) term of the A.P., then n is equal to:

Sequence and Series: JEE Main 2024 Mathematics question

JEE Main 2024 · 4 Apr, Morning shift · Q5275

JEE Main 20244 Apr, Morning shiftMathematicsMediumSequence and Series179× since 2002

Let the first three terms 2, p and q, with

q \neq 2

, of a G.P. be respectively the

7^{\text {th }}, 8^{\text {th }}

and

13^{\text {th }}

terms of an A.P. If the

5^{\text {th }}

term of the G.P. is the

n^{\text {th }}

term of the A.P., then

n

is equal to: