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The sum of infinite number of terms of a GP is 20 and the sum of their squares is 100 then 1st term of GP is?
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The sum of infinite number of terms of a GP is 20 and the sum of their...
Let terms of GP be a, ar, ar^2

where a = first term, r = common ratio

S∞ = a/1-r

Therefore, a/1-r = 20

a = 20(1-r)

Also, a^2 = 100(1 - r^2)
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The sum of infinite number of terms of a GP is 20 and the sum of their squares is 100 then 1st term of GP is?
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