There are 60 terms in a finite A.P.. Its firs | vedclass

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

Question

(D) Given: Number of terms $n = 60$,first term $a = 7$,and last term $a_{60} = 125$.Using the formula for the $n^{th}$ term of an $A.P.$,$a_n = a + (n

Vedclass · Accepted Answer

$69$

Vedclass · Answer

(D) Given: Number of terms $n = 60$,first term $a = 7$,and last term $a_{60} = 125$.Using the formula for the $n^{th}$ term of an $A.P.$,$a_n = a + (n - 1)d$.For the $60^{th}$ term: $125 = 7 + (60 - 1)d$.$125 - 7 = 59d$.$118 = 59d$.$d = 118 / 59 = 2$.Now,find the $32^{nd}$ term $(a_{32})$:$a_{32} = a + (32 - 1)d$.$a_{32} = 7 + 31(2)$.$a_{32} = 7 + 62 = 69$.Therefore,the $32^{nd}$ term is $69$.

There are $60$ terms in a finite $A.P.$. Its first term is $7$ and the last term is $125$. Find its $32^{nd}$ term.

Similar Questions

The sum of the first $15$ terms of the $A.P.$ $-10, -12, -14, -16, \ldots$ is:

Which of the following sequences is an $A.P.$?

The sum of $n$ terms of an $A.P.$ is given by $S_{n} = 2n^{2} + 5n$. Then,the $n^{th}$ term of the $A.P.$ $T_{n} = \dots$

The sum of the first $16$ terms of the $A.P.$ $1, 1.5, 2, \ldots$ is:

The $A.P.$ with the first term $-3$ and the common difference $4$ is $ \ldots \ldots \ldots \ldots . $

Vedclass Test Series

Exam Paper Generator

Online Exam Module