Question

In am AP , if mth term is n and the nth term is m, where m is not equal to n, find the pth term?

Answer 1

Hey there !!


▶ In an AP , if mth term is n and the nth term is m, where m is not equal to n, find the pth term?

▶ Answer :-

➡ Given :-

→ mth term = n.

→ nth term = m .

→ m ≠ n.

➡ To find :-

→ pth term .


➡ Solution :-

▶ See the attachment.


✔✔ Hence, it is solved ✅✅.

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THANKS


#BeBrainly.

Answer 2

Answer:

pth term → n + m - p !!

Step-by-step explanation:

We have

$a_{m} = a + (m - 1)d = n$____(1)

and $a_{n} = a + (n - 1)d = m$____(2)

Solving (1) and (2) , we get

$(m - n)d = n - m \: \: or \: \: d = - 1$

and a = n + m - 1

Therefore, $a_{p} = a + (p - 1)d$

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

$= n + m - p$

Hence Pth term is n + m - p