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

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(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

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$245$

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.

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