Question

First term of an arithmetic sequence is n and nth term is 1 what is the (n+1)th term?

Answer 1

Dear Student,
Solution) First term = n.... (i)
T_n = 1
a+(n-1)d = 1
n+(n-1)d = 1 (using i)
(n-1)d = 1-n
-(1-n)d = 1-n
d = -1....(ii)
Now,
T_n+1 = a +(n+1-1)d
= a+nd
= n+n(-1) {Using (i) and (ii)}
= n-n
= 0
Regards!