Question

If (P+q)th term of an AP is m and (P+q)th term is n, then pth term is?

Answer 1

Answer:

a+(p+q-1)d=m

a+(p-q-1)d=n

subtracting both the equations we get

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

0+(2q)d=m-n

d=(m-n)/2q

puting this value in the first equation we get

a+(p+q-1)(m-n)/2q=m

a+(p-1)(m-n)/2q + q(m-n)/2q =m

therefore a+(p-1)d +(m-n)/2 =m

so a+(p-1)d =m-(m-n)/2

=(2m-m+n)2

a+(p-1)d =(m+n)/2

Since a+(p-1)d is the form of the pth term therefore,

pth term = (m+n)/2

Step-by-step explanation:

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Answer 2

Answer:

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