If a_m denotes the mth term of an A.P. then a | vedclass

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Question

(c) ${a_{m + k}} = A + (m + k - 1)\,D$

and ${a_{m - k}} = A + (m - k - 1)\,D$

Adding both equations, we get

$\frac{{{a_{m + k}} + {a_{m - k}}

Vedclass · Accepted Answer

$\frac{{{a_{m + k}} + {a_{m - k}}}}{2}$

Vedclass · Answer

(c) ${a_{m + k}} = A + (m + k - 1)\,D$

and ${a_{m - k}} = A + (m - k - 1)\,D$

Adding both equations, we get

$\frac{{{a_{m + k}} + {a_{m - k}}}}{2} = A + (m - 1)\,D = {a_m}$.

If $a_m$ denotes the mth term of an $A.P.$ then $a_m$ =

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