Question

Read the question in the picture .

Answer 1

This is the solution

hope it is helpful.

Answer 2

Answer:

4th Option :

28

Note:

★ A sequence in which the ratio between the consecutive terms are equal is called Geometric progression (GP) or geometric sequence .

★ The general term of a GP is given by ;

a(n) or T(n) = a•r^(n - 1)

★ The general form of a GP is ;

a , ar , ar² , ar³ .....

Solution:

Given : T(4) = 7 , r = ½

To find : T(2) = ?

We have ;

4th term , T(4) = 7

Also,

Common ratio , r = ½

Now,

We know that ,

T(n) = a•r^(n - 1)

Thus,

=> T(4) = a•r^(4 - 1)

=> T(4) = a•r³

=> 7 = a•(1/2)³

=> 7 = a•(1/8)

=> 7 = a/8

=> a = 7•8

=> a = 56

Now,

=> T(n) = a•r^(n - 1)

=> T(2) = a•r^(2-1)

=> T(2) = a•r

=> T(2) = 56•(1/2)

=> T(2) = 28

Hence,

2nd term = 28