AP EAMCET · Maths · Sequences and Series
If \(x=\frac{1}{5}+\frac{1 \times 3}{5 \times 10}+\frac{1 \times 3 \times 5}{5 \times 10 \times 15}+\ldots\). then \(3 x^2+6 x=\)
- A 1
- B 2
- C -1
- D -2
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
We have, \(x=\frac{1}{5}+\frac{1 \cdot 3}{5 \cdot 10}+\frac{1 \cdot 3 \cdot 5}{5 \cdot 10 \cdot 15}+\ldots\) Comparing expression with, \((1+y)^n=\frac{1+n y}{1 !}+\frac{n(n-1)}{2 !} y^2+\ldots .\) we get,…
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