Q. 184.8( 4 Votes )

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

A. 4^{3}

B. 4^{4}

C. 4^{5}

D. None of these

Answer :

Given: Third term of G.P, T_{3} = 4

To find: Product of first five terms

We know that,

T_{n} = ar^{n – 1}

It is given that, T_{3} = 4

⇒ ar^{3 – 1} = 4

⇒ ar^{2} = 4 …(i)

Product of first 5 terms = a × ar × ar^{2} × ar^{3} × ar^{4}

= a^{5}r^{1+2+3+4}

= a^{5}r^{10}

= (ar^{2})^{5}

= (4)^{5} [from (i)]

Hence, the correct option is **(c)**

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