Question

The third term of a geometric progression is 4. The product of the first five terms is
(a) 4³
(b) 4⁵
(c) 4⁴
(d) none of these

Answer 1

Answer:

The product of the first five terms is =4^5

Step-by-step explanation:

terms in GP are a, ar, ar^2, ar^3,............

So ar^2 = 4

Their product of first  five terms = a . ( ar ) . ( ar )^2. ( ar )^3.( ar )^4

= a^5.r^10

= ( ar^2 ). (a^4.r^8)

= ( 4 ). (a.r^2)^4

= ( 4 ). (4)^4

= ( 4 )^1+4 ( When bases are equal powers are added )

=( 4 )^5

The product of the first five terms is =4^5

Option is (b) 4⁵.