The sums of $n$ terms of two arithmatic series are in the ratio $2n + 3:6n + 5$, then the ratio of their ${13^{th}}$ terms is
$53 : 155$
$27 : 77$
$29 : 83$
$31 : 89$
Write the first five terms of the sequences whose $n^{t h}$ term is $a_{n}=n(n+2)$
If the sum of first $11$ terms of an $A.P.$, $a_{1} a_{2}, a_{3}, \ldots$is $0\left(\mathrm{a}_{1} \neq 0\right),$ then the sum of the $A.P.$, $a_{1}, a_{3}, a_{5}, \ldots, a_{23}$ is $k a_{1},$ where $k$ is equal to
If ${n^{th}}$ terms of two $A.P.$'s are $3n + 8$ and $7n + 15$, then the ratio of their ${12^{th}}$ terms will be
Which of the following sequence is an arithmetic sequence
The four arithmetic means between $3$ and $23$ are