Question

Given the third term of a geometric progression is 32 and the sum of the third term and the fourth term is 16. Find

(a) the first term and the common ratio of the progression

(b) the sum to infinity of the progression. ​

Answer 1

Answer:

Geometric series is of the form a,ar ,ar^2,ar^3,……

in which the first term is a

and common difference is r

Given the third term =32

and common difference r = 4

third term = a r^2 =32

= a(4)^2 =32

= a(16) =32

a = 32

first term in the sequence is = a =2

Step-by-step explanation: