Find the sum of the following APs 2, 7, 12, l | vedclass

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

Question

(C) The given $A.P.$ is $2, 7, 12, \ldots$ up to $10$ terms.For this $A.P.$:First term $a = 2$.Common difference $d = a_2 - a_1 = 7 - 2 = 5$.Number of

Vedclass · Accepted Answer

$245$

Vedclass · Answer

(C) The given $A.P.$ is $2, 7, 12, \ldots$ up to $10$ terms.For this $A.P.$:First term $a = 2$.Common difference $d = a_2 - a_1 = 7 - 2 = 5$.Number of terms $n = 10$.We use the sum formula for an $A.P.$:$S_n = \frac{n}{2} [2a + (n - 1)d]$Substituting the values:$S_{10} = \frac{10}{2} [2(2) + (10 - 1)5]$$S_{10} = 5 [4 + 9 	imes 5]$$S_{10} = 5 [4 + 45]$$S_{10} = 5 	imes 49 = 245$Thus,the sum of the first $10$ terms is $245$.

Find the sum of the following $APs$ $2, 7, 12, \ldots$ to $10$ terms.

Similar Questions

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

The houses of a row are numbered consecutively from $1$ to $49$. Show that there is a value of $x$ such that the sum of the numbers of the houses preceding the house numbered $x$ is equal to the sum of the numbers of the houses following it. Find this value of $x$.

In an $AP$,given $l = 28$,$S = 144$,and there are a total of $9$ terms. Find $a$.

For a given $A.P.$,$a=2$ and $d=3$. Then,$S_{30} = \dots$

If $a=2$ and $d=4,$ then $S_{40}=\ldots \ldots \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module