For the finite A.P. 1, 4, 7, ldots, 118, find | vedclass

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(A) The given $A.P.$ is $1, 4, 7, \ldots, 118$.Here,the first term $a = 1$ and the common difference $d = 4 - 1 = 3$.The last term $l = 118$.To find t

Vedclass · Accepted Answer

$76$

Vedclass · Answer

(A) The given $A.P.$ is $1, 4, 7, \ldots, 118$.Here,the first term $a = 1$ and the common difference $d = 4 - 1 = 3$.The last term $l = 118$.To find the $n^{th}$ term from the end of an $A.P.$,we use the formula: $a_n (	ext{from end}) = l - (n - 1)d$.Here,$n = 15$,$l = 118$,and $d = 3$.Substituting the values: $a_{15} = 118 - (15 - 1) 	imes 3$.$a_{15} = 118 - (14 	imes 3)$.$a_{15} = 118 - 42$.$a_{15} = 76$.Therefore,the $15^{th}$ term from the end is $76$.

For the finite $A.P.$ $1, 4, 7, \ldots, 118,$ find the $15^{th}$ term from the end.

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