The 21^{text{st}} term of the AP whose first | vedclass

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

Question

(A) Given,the first term $a = -3$.The second term $a + d = 4$.Substituting the value of $a$ in the second term equation: $-3 + d = 4$.Therefore,the co

Vedclass · Accepted Answer

$137$

Vedclass · Answer

(A) Given,the first term $a = -3$.The second term $a + d = 4$.Substituting the value of $a$ in the second term equation: $-3 + d = 4$.Therefore,the common difference $d = 4 + 3 = 7$.The formula for the $n^{	ext{th}}$ term of an $AP$ is $a_n = a + (n - 1)d$.For the $21^{	ext{st}}$ term $(n = 21)$:$a_{21} = -3 + (21 - 1) 	imes 7$.$a_{21} = -3 + 20 	imes 7$.$a_{21} = -3 + 140$.$a_{21} = 137$.

The $21^{\text{st}}$ term of the $AP$ whose first two terms are $-3$ and $4$ is

Similar Questions

Prove that $(a-b)^{2}, (a^{2}+b^{2})$ and $(a+b)^{2}$ form an $A.P.$

For an $A.P.$,the $2^{nd}$ term is $2$ and the $7^{th}$ term is $22$. Find the sum of the first $30$ terms of the $A.P.$

The $n^{th}$ term of an $A.P.$ is given by $T_n = 6n - 5$. Then,the $10^{th}$ term of the $A.P.$ is:

For each of the following $A.P.s$,find the $n^{th}$ term: $10.5, 11.7, 12.9, 14.1, \dots$

For a given $A.P.$,the $5^{th}$ term is $30$ and the $12^{th}$ term is $65$. Find the sum of first $30$ terms of this $A.P.$

Vedclass Test Series

Exam Paper Generator

Online Exam Module