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The sum to infinity of a geometric progression is 100. Find its first term if th...


Question

The sum to infinity of a geometric progression is 100. Find its first term if the common ratio is \(\frac{1}{4}\)

Options

A) 75

B) 70

C) 65

D) 60

The correct answer is A.

Explanation:

S = \(\frac{a}{1-r}\)
R \( \lt \) 1
\( \therefore \) 100 = \(\cfrac{a}{(1-\frac{1}{4})}\)
100 \(\times \frac{3}{4} = a\)
A = 75

Explanation provided by Holarmilekan Amin


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