Question

Find the sum of the infinite geometric series (8 + 4√2 + 4 + 2√2 + ... )​

Answer 1

8(2+√2)

Given series is in G.P.

Let a= first term and r= common ratio

a=8 and r= 4√2/8 = 1/√2.

∴S= a-(1-r). =8(2+√2)