AP EAMCET · Maths · Sequences and Series
\(1+\frac{1}{3}+\frac{1.3}{3.6}+\frac{1.3 .5}{3.6 .9}+\ldots\) to \(\infty=\)
- A \(\sqrt{5}\)
- B \(\sqrt{6}\)
- C \(\sqrt{15}\)
- D \(\sqrt{3}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{3}\)
Step-by-step Solution
Detailed explanation
\(1+\frac{1}{3}+\frac{1.3}{3.6}+\frac{1.3 .5}{3.6 .9}+\ldots\) to \(\infty\) Let \(S=1+\frac{1}{3(1)!}+\frac{1.3}{(3)^2(2!)}+\frac{1.3 .5}{(3)^3(3!)}+\ldots\) Comparing…
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