The first term of a finite A.P. is 5 and its | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The formula for the sum of $n$ terms of an $A.P.$ when the first term $a$ and the last term $l$ are known is given by:$S_n = \frac{n}{2}(a + l)$Gi

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(B) The formula for the sum of $n$ terms of an $A.P.$ when the first term $a$ and the last term $l$ are known is given by:$S_n = \frac{n}{2}(a + l)$Given:First term $a = 5$Last term $l = 45$Sum of terms $S_n = 500$Substituting the values into the formula:$500 = \frac{n}{2}(5 + 45)$$500 = \frac{n}{2}(50)$$500 = 25n$$n = \frac{500}{25}$$n = 20$Therefore,there are $20$ terms in the $A.P.$

The first term of a finite $A.P.$ is $5$ and its last term is $45$. If the sum of all the terms is $500$,there are $\ldots$ terms in the $A.P.$

Similar Questions

The sum of the $5^{\text{th}}$ and the $7^{\text{th}}$ terms of an $AP$ is $52$ and the $10^{\text{th}}$ term is $46$. Find the $AP$.

Which of the following is not an $A.P.$?

Find the $12^{th}$ term of the $A.P.$ $9, 13, 17, 21, \ldots$

The $n^{th}$ term of an $A.P.$ is given by $T_{n} = 2n - 1$. Then,the $10^{th}$ term of the $A.P.$ is.........

The ratio of the sums of first $n$ terms of two $A.P.s$ is $(7n + 1) : (4n + 27)$. Find the ratio of their $m^{th}$ terms.

Vedclass Test Series

Exam Paper Generator

Online Exam Module