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 )+ upto , is

JEE Main Mathematics question

If and , then the sum of the series upto , is

Answer: (B)

The term is . Summing two geometric series with ratios and (both of modulus

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Question ID VK-021944