Find the 20^{th} term from the last term of t | vedclass

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

Question

(C) The given $A.P.$ is $3, 8, 13, \ldots, 253.$Here,the first term $a = 3$ and the common difference $d = 8 - 3 = 5.$The last term $l = 253.$To find

Vedclass · Accepted Answer

$158$

Vedclass · Answer

(C) The given $A.P.$ is $3, 8, 13, \ldots, 253.$Here,the first term $a = 3$ and the common difference $d = 8 - 3 = 5.$The last term $l = 253.$To find the $n^{th}$ term from the end,we can reverse the $A.P.$ or use the formula: $n^{th}$ term from the end $= l - (n - 1)d.$Here,$l = 253, n = 20, d = 5.$$20^{th}$ term from the end $= 253 - (20 - 1) 	imes 5.$$= 253 - (19 	imes 5).$$= 253 - 95.$$= 158.$Thus,the $20^{th}$ term from the last term is $158.$

Find the $20^{th}$ term from the last term of the $AP : 3, 8, 13, \ldots, 253.$

Similar Questions

Two $APs$ have the same common difference. The difference between their $100^{th}$ terms is $100$. What is the difference between their $1000^{th}$ terms?

Find the number of terms in the finite $A.P.$ $6, 5.5, 5, \ldots, -12$.

Determine whether the following sequence is an $A.P.$ or not. (Assume that the pattern continues.) If it is an $A.P.$,find its $n^{th}$ term: $111, 107, 103, 99, \ldots$

Which term of the $A.P.$ $20, 19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4}, \ldots$ is its first negative term (in $^{th}$)?

Which term of the $A.P.$ $53, 48, 43, \ldots$ is its first negative term? Find that term.

Vedclass Test Series

Exam Paper Generator

Online Exam Module