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Question

Mathematics Question on Sequences and Series of real numbers

Let
𝑆𝑛=βˆ‘k=1n1+k2k4kβˆ’1,n=1,2,...𝑆_𝑛 =βˆ‘_{k=1}^n\frac{1+k2^k}{4^{k-1}},n=1,2,...
Then, limπ‘›β†’βˆž 𝑆𝑛 equals (round off to two decimal places)

Answer

The correct answer is: 9.32 to 9.34 (approx)