in an A.P.if mth term is n and nth term is m,where m unequal to n, find the pth term
Answers
Answered by
279
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 :-)
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 :-)
Answered by
0
Answer:
The term is n+m-p
Step-by-step explanation:
As per the data given in the question,
we have,
Formula of term,
substracting (i) and (ii),
putting in equation (i)
Since we have the value of a and d, so
Hence, the term is n+m-p
#SPJ2
Similar questions