Let $S_n$ and $s_n$ deontes the sum of first $n$ terms of two different $A.P$. for which $\frac{{{s_n}}}{{{S_n}}} = \frac{{3n - 13}}{{7n + 13}}$ then $\frac{{{s_n}}}{{{S_{2n}}}}$
$\frac{{3n - 13}}{{14n + 26}}$
$\frac{{6n - 26}}{{17n + 13}}$
$\frac{{3n - 13}}{{28n + 26}}$
None
Insert $6$ numbers between $3$ and $24$ such that the resulting sequence is an $A.P.$
If $\frac{a^{n}+b^{n}}{a^{n-1}+b^{n-1}}$ is the $A.M.$ between $a$ and $b,$ then find the value of $n$.
The sum of numbers from $250$ to $1000$ which are divisible by $3$ is
If sum of $n$ terms of an $A.P.$ is $3{n^2} + 5n$ and ${T_m} = 164$ then $m = $
If $n$ arithmetic means are inserted between a and $100$ such that the ratio of the first mean to the last mean is $1: 7$ and $a+n=33$, then the value of $n$ is