There are $15$ terms in an arithmetic progression. Its first term is $5$ and their sum is $390$. The middle term is
There are $15$ terms in an arithmetic progression. Its first term is $5$ and their sum is $390$. The middle term is
- A
$23$
- B
$26$
- C
$29$
- D
$32$
Similar Questions
Let the coefficients of the middle terms in the expansion of $\left(\frac{1}{\sqrt{6}}+\beta x\right)^{4},(1-3 \beta x)^{2}$ and $\left(1-\frac{\beta}{2} x\right)^{6}, \beta>0$, respectively form the first three terms of an $A.P.$ If $d$ is the common difference of this $A.P.$, then $50-\frac{2 d}{\beta^{2}}$ is equal to.
Let the coefficients of the middle terms in the expansion of $\left(\frac{1}{\sqrt{6}}+\beta x\right)^{4},(1-3 \beta x)^{2}$ and $\left(1-\frac{\beta}{2} x\right)^{6}, \beta>0$, respectively form the first three terms of an $A.P.$ If $d$ is the common difference of this $A.P.$, then $50-\frac{2 d}{\beta^{2}}$ is equal to.
- [JEE MAIN 2022]
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 $n$.
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 $n$.
A manufacturer reckons that the value of a machine, which costs him $Rs.$ $15625$ will depreciate each year by $20 \% .$ Find the estimated value at the end of $5$ years.
A manufacturer reckons that the value of a machine, which costs him $Rs.$ $15625$ will depreciate each year by $20 \% .$ Find the estimated value at the end of $5$ years.
Write the first three terms in each of the following sequences defined by the following:
$a_{n}=2 n+5$
Write the first three terms in each of the following sequences defined by the following:
$a_{n}=2 n+5$
If the sum of three numbers in $A.P.,$ is $24$ and their product is $440,$ find the numbers.
If the sum of three numbers in $A.P.,$ is $24$ and their product is $440,$ find the numbers.