4. In an A.P. if mih term is n and term is m, where m. find the term is m, where m=/n
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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
i hope its help you :-)
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