Embibe Experts Solutions for Chapter: Sequences and Series, Exercise 1: MHT-CET 2020 (13-Oct Shift 1)

For a sequence, if $S_n=\frac{5^n-2^n}{2^n},$ then its fourth term is

If ${\sum }_{r=1}^n\left(2r+1\right)=440$ , then $n=$…..

If the sum of an infinite GP be $9$ and sum of first two terms be $5$ then their common ratio is …..

The sum of the first $10$ terms of the series $9+99+999+.\dots .$ is

If $\frac{2+4+6+8 . . . . . . . . \mathrm{upto} n \mathrm{terms}}{1+3+5+7 . . . . . . . . \mathrm{upto} n \mathrm{terms}}=\frac{37}{36}$, then $n=$