Question

Hey friends,

In an A.P if mth term is n and nth term is m , where, n not equal to n , find the pth term ?


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Answer 1

⭐ Given,

$A_m = a + (m-1)d = n$...(1)
✨

✨$A_n = a + (n-1)d = m$....(2)

By solving (1) and (2)

(m-n)d = n-m , or d= -1

and A= n + m -1

•°• $A_p = a + (p -1)d$

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

Hence,

The oth term is N+ m - p .

Answer 2

$\boxed{\textbf{Solution}}$

Given,

A(m) = a + (m - 1)d = n .. ....(i)

A(n) = a + (n - 1)d = m ...... (ii)

From eqn (i) and (ii) we get,

(m-n)d = n - m , or d = -1

and a = n + m - 1

.•. A(p) = a + (p - 1)d

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

Hence,

the other term is n + m -p

Hope it helps you✔✔