If the sum of the first $n$ terms of a series be $5{n^2} + 2n$, then its second term is
$7$
$17$
$24$
$42$
(b) ${T_2} = {S_2} – {S_1}$
= $5{(2)^2} + 2(2) – \{ 5{(1)^2} + 2(1)\} = 24 – 7 = 17$.
The sum of the numbers between $100$ and $1000$, which is divisible by $9$ will be
If the first term of an $A.P.$ is $3$ and the sum of its first $25$ terms is equal to the sum of its next $15$ terms, then the common difference of this $A.P.$ is :
Write the first five terms of the sequences whose $n^{t h}$ term is $a_{n}=n \frac{n^{2}+5}{4}$
If all interior angle of quadrilateral are in $A.P.$ If common difference is $10^o$, then find smallest angle ? ………….. $^o$
The number of common terms in the progressions $4,9,14,19, \ldots \ldots$, up to $25^{\text {th }}$ term and $3,6,9,12$, up to $37^{\text {th }}$ term is :
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