Find the number of terms in the following AP: | vedclass

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Question

(B) For the given $AP$: $7, 13, 19, \ldots, 205$.Here,the first term $a = 7$.The common difference $d = a_2 - a_1 = 13 - 7 = 6$.Let the number of term

Vedclass · Accepted Answer

$34$

Vedclass · Answer

(B) For the given $AP$: $7, 13, 19, \ldots, 205$.Here,the first term $a = 7$.The common difference $d = a_2 - a_1 = 13 - 7 = 6$.Let the number of terms in the $AP$ be $n$.The last term $a_n = 205$.Using the formula for the $n^{th}$ term of an $AP$: $a_n = a + (n - 1)d$.Substituting the values: $205 = 7 + (n - 1)6$.Subtracting $7$ from both sides: $198 = (n - 1)6$.Dividing by $6$: $33 = n - 1$.Therefore,$n = 34$.Thus,the number of terms in the given $AP$ is $34$.

Find the number of terms in the following $AP$: $7, 13, 19, \ldots, 205$.

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