Question

Find the sum of the following Geometric series

(a) 1 + 2 + 4 + …….. upto 9 terms

(b) ……. upto 8 terms

(c) 3 + 0.3 + 0.03 + 0.003 + …….. upto 6 terms

(d) …….. upto ∞

Answer 1

(a) The given geometric series is .

Here, and

(b) The given geometric series is .

Here, and

(c) The given geometric series is .

Here, and .

(d) The given geometric series is

Here, and .