Question

Find the sum of the geometric sequence;

4/3,8/3,16/3,32/3,64/3

A.) 122/3
B.)124/3
C.)124/15
D.)122/5

Thank you for your answer!

Answer 1

124/3

Explanation:

The first term, a is 4/3

The common ratio, r is 2

The number of terms, n is 5

Therefore;

Sum = a( r^n-1)/(r-1)

= 4/3 ((2^5) -1)/(2-1)

= 4/3 × ((2^5) -1)

= 4/3 × (32-1)

= 4/3× 31

= 124/3