Telangana Board Solutions for Chapter: Progressions, Exercise 4: Exercise

In an AP:

Given $a=5, d=3, a_n=50$, find $n$ and $S_n$.

In an AP:

Given $a=7, a_{13}=35$, find $d$ and $S_{13}$.

In an AP:

given: $a_{12}=37, d=3$, find $a$ and $S_{12}$.

In an AP:

Given: $a_3=15, S_{10}=125$, find $d$ and $a_{10}$.

In an AP:

Given: $a=2, d=8, S_n=90$, find $n$ and $a_n$.

In an AP:

Given: $a_n=4, d=2, {\mathrm{S}}_n=-14$, find $n$ and $a$.

The first and the last terms of an AP are $17$ and $350$ respectively. If the common difference is $9$, how many terms are there and what is their sum?

If the sum of first $7$ terms of an AP  is $49$ and that of $17$ terms is $289$, then the sum of first $n$ terms$=n^k$. Find $k$.