COMEDK · Maths · 5. Sequences and Series
The sum of \(n\) terms of the series, \(\frac{4}{3}+\frac{10}{9}+\frac{28}{27}+\ldots\) is
- A \(\frac{3^n(2 n+1)+1}{2\left(3^n\right)}\)
- B \(\frac{3^n(2 n+1)-1}{2\left(3^n\right)}\)
- C \(\frac{3^n n-1}{2\left(3^n\right)}\)
- D \(\frac{3^n-1}{2}\)
Answer & Solution
Correct Answer
(B) \(\frac{3^n(2 n+1)-1}{2\left(3^n\right)}\)
Step-by-step Solution
Detailed explanation
Given series is \(\frac{4}{3}+\frac{10}{9}+\frac{28}{27}+\ldots\) The sum of the given series upto \(n\)-terms…
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