Question

Which term of Arithmetic progressions-12.-9-6_______is (zero)?

Answer 1

-12, -9, -6, - - - are in A.P

We don't know which term of this A.P be Zero.

Nth term of A.P = a+(n-1) d

where a is first term,

n is the nth term,

d is the common difference.

a = -12

nth term = 0

common difference = -9-(-12) = 3

Substitute the given values

$0 = - 12 + (n - 1)3$

$12 = 3n - 3$

$15 = 3n$

$n = 5$

Therefore, zero is the 5th term of the given A.P

HOPE IT HELPS