Question

in an Ap, if mth term is n and nth term is m, where m is not equal to n, find the pth term​

Answer 1

Answer:

n+m-p

Step-by-step explanation:

Hello dear,

am = a+ (m-1)d = n ................(1)

an = a+(n-1)d = m ..............(2)

on substracting 1 and 2 ,

a +(m-1) d - a - (n-1)d = n -m

(m - 1 - n +1) d = n -m

(m-n) d = n-m

d = - (m-n) / m-n = -1

in equation 1 ,

a+(m-1)(-1) = n

a - m +1 = n

a = n+m -1

ap = a+(p-1)d

= n +m - 1 + (p-1)(-1)

= n+m -1 -p +1

= n+m-p

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hope this helps you :)

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