Question

Evaluate the series 1 + 0.1 + 0.01 + . . .

Answer 1

It is in geometric progression...so,sum to infinite terms in GP is a/(1-r)
where a= first term
r = second term / first term = 0.1 /1 =0.1
therefore,sum = a / (1-r) = 1/ (1-0.1) = 1/0.9 = 10 / 9

Answer 2

So, the answer is 10/9?

Answer 3

1.11?

Answer 4

yes...it's actually 1.1111111111...so on..that's 1.1 recurring

Answer 5

Thank you :)

Answer 6

ok