You visited us 1 times! Enjoying our articles? Unlock Full Access!

Sum of Infinite Terms of a GP

Find the sum ...

Question

Find the sum of n terms of a series whose mth term is $2^{m} + 2 m$ .

Open in App

Solution

$\sum_{1}^{n} 2^{m} + 2 m$
$2 \frac{2^{n} - 1}{2 - 1} + 2 (\frac{n (n + 1)}{2})$
$2^{n + 1} - 2 + n (n + 1)$

Suggest Corrections

Similar questions

m^{t h}

n^{t h}

2 m - 1 : 2 n - 1

m^{t h}

n^{t h}

n (2 n - 1)

m

n

m^{2} : n^{2}

m^{t h}

n^{t h}

(2 m - 1) : (2 n - 1)

If the ratio of sum of m terms and n terms of an A.P. is $m^{2}$ : $n^{2}$ , then the ratio of its $m^{t h}$ and $n^{t h}$ terms will be :

m^{2}

n^{2}

m^{t h}

m^{t h}

(2 m - 1) : (2 n - 1) .

Join BYJU'S Learning Program