The n^{th} term of the A.P. 5, 10, 15, 20, ld | vedclass

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Question

(B) For the given Arithmetic Progression $(A.P.)$: $5, 10, 15, 20, \ldots$The first term $(a)$ is $5$.The common difference $(d)$ is calculated as $d

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(B) For the given Arithmetic Progression $(A.P.)$: $5, 10, 15, 20, \ldots$The first term $(a)$ is $5$.The common difference $(d)$ is calculated as $d = 10 - 5 = 5$.The formula for the $n^{th}$ term of an $A.P.$ is given by $T_n = a + (n - 1)d$.Substituting the values of $a$ and $d$ into the formula:$T_n = 5 + (n - 1)5$$T_n = 5 + 5n - 5$$T_n = 5n$Therefore,the $n^{th}$ term is $5n$.

The $n^{th}$ term of the $A.P.$ $5, 10, 15, 20, \ldots$ is....... (in $n$)

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