Question

Read the question in the picture .

Answer 1

Answer:

Answer is:12

Step-by-step explanation:

Hope its helpful for you

Answer 2

Answer:

2nd option

16

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 : a1 = a = 36 , r = ⅔

To find : T(3) = ?

We have ;

1st term , a1 or a = 36

Also,

Common ratio , r = ⅔

Now,

We know that ,

T(n) = a•r^(n - 1)

Thus,

=> T(3) = a•r^(3 - 1)

=> T(3) = a•r²

=> T(3) = 36•(⅔)²

=> T(3) = 36•(4/9)

=> T(3) = 16

Hence,

Third term = 16