For a finite A.P.,the first term is 2 and the | vedclass

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

Question

(D) Given: First term $a = 2$,last term $l = 50$,and sum $S_n = 442$.The formula for the sum of an $A.P.$ is $S_n = \frac{n}{2}(a + l)$.Substituting t

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(D) Given: First term $a = 2$,last term $l = 50$,and sum $S_n = 442$.The formula for the sum of an $A.P.$ is $S_n = \frac{n}{2}(a + l)$.Substituting the values: $442 = \frac{n}{2}(2 + 50)$.$442 = \frac{n}{2}(52) \implies 442 = 26n$.$n = \frac{442}{26} = 17$.Now,use the formula for the $n^{th}$ term: $a_n = a + (n - 1)d$.$50 = 2 + (17 - 1)d$.$50 - 2 = 16d$.$48 = 16d$.$d = \frac{48}{16} = 3$.Therefore,the common difference $d$ is $3$.

For a finite $A.P.$,the first term is $2$ and the last term is $50$. If the sum of all the terms is $442$,find the common difference $d$.

Similar Questions

$A$ sum of ₹ $700$ is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is ₹ $20$ less than its preceding prize,find the value of each of the prizes.

The sum of the first $30$ positive multiples of $6$ is:

Find the sum of those integers from $1$ to $500$ which are multiples of $2$ as well as of $5$.

Find the sum of the odd numbers between $0$ and $50$.

The sum of the first $n$ natural numbers is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module