Question

The third term of G.P. is 4. The product of its first 5 terms is

(A) 4³ (B) 4⁴ (C) 4⁵ (D) None of these

Answer 1

(C) 4⁵

Explanation:

Given third term of G.P, T₃ = 4

To find Product of first five terms

We know that,

T_n = a r^{n – 1}

It is given that, T₃ = 4

⇒ ar^{3 – 1} = 4

⇒ ar² = 4 … (i)

Product of first 5 terms = a × ar × ar² × ar³ × ar⁴

= a⁵r^1+2+3+4

= a⁵r¹⁰

= (ar²)⁵

= (4)⁵ [from (i)]

Hence, the correct option is (C)