If a 1 and b 1 , then the sum of the series a a + b + a 2 a 2 + b 2 + a 3 a 3 + b 3 + … is

Question

If a 1 and b 1 , then the sum of the series a a + b + a 2 a 2 + b 2 + a 3 a 3 + b 3 + … is, a 1 - a + a b 1 - a b, a 2 1 - a 2 + a b 1 - a b, b 1 - b + a 1 - a, b 2 1 - b 2 + a b 1 - a b

MARKS App · Accepted Answer

We have, a 1 , b 1 ∴ a b = a b 1 Now, a a + b + a 2 a 2 + b 2 + a 3 a 3 + b 3 + … = a 2 + a 4 + a 6 + … + a b + a b 2 + a b 3 + … = a 2 1 - a 2 + a b 1 - a b

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