Question

The product of three consecutive termsof a geometric progression is 64.Its middle term is?

Answer 1

Answer:

Hence middle term=4

Step-by-step explanation:

Let the terms of GP are:

a/r,a and ar

the product

=a/r × a ×ar=64 given

(a³/r)*r=64

a³=64

a³=4³

so a=4

Hence middle term=4

Answer 2

Answer:

Middle term of the Geometric Progression is 4

Step-by-step explanation:

Given data  

The product of three consecutive terms of Geometric progression = 64

here we need to find middle term  

Let a/r,  a and ar be the three consecutive terms of GP

⇒  from given data product of a/r a and ar = 64

                              ⇒  $\frac{a}{r}(a)(ar) = 64$

                              ⇒  a(a)(a) = 64

                              ⇒   a³  =  4³

⇒   a = 4

middle term of the given Geometric Progression  a = 4