Solveeit Logo
Login

Question

Question: If the third term of a G.P. is 4 then the product of its first 5 terms is...

If the third term of a G.P. is 4 then the product of its first 5 terms is

A

434^{3}

B

444^{4}

C

454^{5}

D

None of these

Answer

454^{5}

Explanation

Solution

Given that ar2=4ar^{2} = 4

Then product of first 5 terms

=a(ar)(ar2)(ar3)(ar4)=a5r10=[ar2]5=45= a(ar)(ar^{2})(ar^{3})(ar^{4}) = a^{5}r^{10} = \lbrack ar^{2}\rbrack^{5} = 4^{5}