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Show that the sum of (m+n)^(t h)and (m-n...

Show that the sum of `(m+n)^(t h)`and `(m-n)^(t h)`terms of an A.P. is equal to twice the `m^(t h)`term.

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To show that the sum of the \((m+n)^{th}\) term and the \((m-n)^{th}\) term of an A.P. is equal to twice the \(m^{th}\) term, we can follow these steps: ### Step 1: Define the \(n^{th}\) term of an A.P. The \(n^{th}\) term of an arithmetic progression (A.P.) can be expressed as: \[ T_n = a + (n-1)d \] where \(a\) is the first term and \(d\) is the common difference. ...
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