The ldots ldots ldots ldots^{th} term of the | vedclass

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

Question

(A) Given the Arithmetic Progression $(A.P.)$ is $200, 196, 192, \ldots$.Here,the first term $a = 200$.The common difference $d = 196 - 200 = -4$.We n

Vedclass · Accepted Answer

$51$

Vedclass · Answer

(A) Given the Arithmetic Progression $(A.P.)$ is $200, 196, 192, \ldots$.Here,the first term $a = 200$.The common difference $d = 196 - 200 = -4$.We need to find the term $n$ such that the $n^{th}$ term $T_n = 0$.The formula for the $n^{th}$ term of an $A.P.$ is $T_n = a + (n - 1)d$.Substituting the values,we get $0 = 200 + (n - 1)(-4)$.$200 = 4(n - 1)$.$50 = n - 1$.$n = 51$.Thus,the $51^{st}$ term of the $A.P.$ is $0$.

The $\ldots \ldots \ldots \ldots^{th}$ term of the $A.P.$ $200, 196, 192, \ldots$ is $0$.

Similar Questions

Determine the $AP$ whose fifth term is $19$ and the difference of the eighth term from the thirteenth term is $20$.

Find the sum of multiples of $5$ lying between $84$ and $719$.

In each of the following,$a$ and $d$ for an $A.P.$ are given. Find the $A.P.$ in each case. $a = -15, d = -7$.

For an $A.P.$,the $6^{th}$ term is $19$ and the $17^{th}$ term is $41$. Find the $40^{th}$ term of the $A.P.$

For the $A.P.$ $-2, -4, -6, \ldots,$ the common difference $d = \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module