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Show that the sum of (m+n) th and (m-n) th terms of an AP is equal to twice the mth terms.

Posted by Ayushi Chaudhary 3 years, 4 months ago

CBSE > Class 11 > Applied Maths

1 answers

Preeti Dabral 3 years, 4 months ago

Let the A.P be

The first term is 'a'

The common difference is 'd'.

The nth term of the A.P is given by,

The (m+n)th term of A.P is

The (m-n)th term of A.P is

The sum of (m+n)th and (m-n)th term of an A.P is given by,

....(1)

Now, m th term of A.P is given by,

Twice of m th term is

From (1),

Therefore, The sum of (m+n)th and (m-n)th term of an A.P is equal to twice the mth term

1Thank You

ANSWER

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