Question

In the given G.P find the product of the fifth term from the begining and from the end.

$\frac{1}{16},\frac{1}{4},1,4,\mathrm{16.........16},384.$

• A. 256
• B. 4096
• C. 4056
• D. 1024

Answer 1

The correct option is D

1024

The product of terms equidistant from the begining and the end of a finite GP is equal to the product of the first and last terms

a = first term $=\frac{1}{16}$

l = last term = 16384

$\therefore$ Product $a\times l=\frac{1}{16}\times 16384$

$=1024$

$\Rightarrow$ Product of the fifth term from begining and end = 1024