Find the sum to indicated number of terms in each of the geometric progressions in
0.15, 0.015, 0.0015,... 20 terms.
Given: 0.15, 0.015, 0.0015,... 20 terms.
Sum of n terms of a G.P. is given by:
(a: First term of G.P, r: common difference of G.P, n: Number of terms of the G.P)
First term of the Given G.P (a) = 0.15
Common difference of the given G.P(r) =
=
= 0.1
Number of terms(n): 5
Let the sum of 20 terms be s
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∴ The sum of 20 terms of the given sequence is:
[1-(0.1)20]