If m times the $m^{t h}$ term of an AP is equal to n times its $n^{t h}$ term, find the $(m + n)^{t h}$ term of that AP. Given that m is not equal to n.

t_m + t_n

No worries! We‘ve got your back. Try BYJU‘S free classes today!

t_m - t_n

No worries! We‘ve got your back. Try BYJU‘S free classes today!

t_m * t_n

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is A
0

m(a + (m-1)d) = n(a + (n-1)d)
am + (m-1)dm = an + (n-1)nd
a(m-n) + d[m(m-1) - n(n-1)] = 0
(m-n)(a + d(m+n-1)) = 0
m is not equal to n.
a + d(m+n-1) = 0
(m+n) term is zero.

Suggest Corrections

Similar questions

If m times the m^th term of an AP is equal to n times its n^th term, find the (m+n)^th term of that AP?

(m + n) t h

If $m$ times the $m^{t h}$ term of an AP is equal to $n$ times its $n^{t h}$ term, show that the $(m + n)^{t h}$ term of the AP is zero.

m

m^{t h}

n^{t h}

(m + n)^{t h}