The mth term of an AP is n and the nth term is m. Find the (m+n)th term of this AP.
Asked by Topperlearning User | 22nd Sep, 2017, 03:29: PM
Let a and d respectively be the first term and the common difference of the AP.
Then, we have:
a + (m - 1)d = n …………(i)
And,a + (n - 1)d = m ………..(ii)
On solving (i) and (ii), we get,
d = -1 ; a = m + n - 1
am+n = a + (m + n - 1)d
= m + n -1 + (m + n - 1)(-1)
= m +n - 1 - m - n + 1
Answered by | 22nd Sep, 2017, 05:29: PM
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