The sum of $n$ arithmetic means between $a$ and $b$, is
The sum of $n$ arithmetic means between $a$ and $b$, is
- A
$\frac{{n(a + b)}}{2}$
- B
$n(a + b)$
- C
$\frac{{(n + 1)(a + b)}}{2}$
- D
$(n + 1)(a + b)$
Similar Questions
Find the sum of all natural numbers lying between $100$ and $1000,$ which are multiples of $5 .$
Find the sum of all natural numbers lying between $100$ and $1000,$ which are multiples of $5 .$
The first term of an $A.P.$ of consecutive integers is ${p^2} + 1$ The sum of $(2p + 1)$ terms of this series can be expressed as
The first term of an $A.P.$ of consecutive integers is ${p^2} + 1$ The sum of $(2p + 1)$ terms of this series can be expressed as
The $20^{\text {th }}$ term from the end of the progression $20,19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4}, \ldots .,-129 \frac{1}{4}$ is :-
The $20^{\text {th }}$ term from the end of the progression $20,19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4}, \ldots .,-129 \frac{1}{4}$ is :-
- [JEE MAIN 2024]
If $a_m$ denotes the mth term of an $A.P.$ then $a_m$ =
If $a_m$ denotes the mth term of an $A.P.$ then $a_m$ =
If $a_1 , a_2, a_3, . . . . , a_n, ....$ are in $A.P.$ such that $a_4 - a_7 + a_{10}\, = m$, then the sum of first $13$ terms of this $A.P.$, is .............. $\mathrm{m}$
If $a_1 , a_2, a_3, . . . . , a_n, ....$ are in $A.P.$ such that $a_4 - a_7 + a_{10}\, = m$, then the sum of first $13$ terms of this $A.P.$, is .............. $\mathrm{m}$
- [JEE MAIN 2013]