For the finite A.P. 1, 4, 7, ldots, 118, find | vedclass

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

Question

(A) The given $A.P.$ is $1, 4, 7, \ldots, 118$.Here,the first term $a = 1$ and the common difference $d = 4 - 1 = 3$.The last term $l = 118$.To find t

Vedclass · Accepted Answer

$76$

Vedclass · Answer

(A) The given $A.P.$ is $1, 4, 7, \ldots, 118$.Here,the first term $a = 1$ and the common difference $d = 4 - 1 = 3$.The last term $l = 118$.To find the $n^{th}$ term from the end of an $A.P.$,we use the formula: $a_n (	ext{from end}) = l - (n - 1)d$.Here,$n = 15$,$l = 118$,and $d = 3$.Substituting the values: $a_{15} = 118 - (15 - 1) 	imes 3$.$a_{15} = 118 - (14 	imes 3)$.$a_{15} = 118 - 42$.$a_{15} = 76$.Therefore,the $15^{th}$ term from the end is $76$.

For the finite $A.P.$ $1, 4, 7, \ldots, 118,$ find the $15^{th}$ term from the end.

Similar Questions

Can any term of the $A.P.$ $3, 7, 11, \ldots$ be $184$?

The $n^{th}$ term of an $A.P.$ is given by $T_{n} = 8n + 3$. Find the sum of the first $n$ terms of the $A.P.$

Which term of the $AP: 21, 42, 63, 84, \ldots$ is $210$?

Which term of the $A.P.$ $5 \frac{1}{2}, 11, 16 \frac{1}{2}, \ldots$ is $550$ (in $^{th}$)?

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 $A.P.$

Vedclass Test Series

Exam Paper Generator

Online Exam Module