Question

which term of an arithmetic progression, -12, -9, -6 (0) zero​

Answer 1

Answer:

5th term of an A.P is '0'

Step-by-step explanation:

Given,

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

To Find :-

Which term of the arithmetic progression is '0'.

How To Do :-

Here they given the terms of the A and we are asked to find which term of an A.P is '0'. So by observing the terms we can obtain the values of first term(a) and common difference(d). So by using those we need to find the Which term of the arithmetic progression is '0'.

Formula Required :-

nth term of an A.P :-

a_n = a + (n - 1)d

Solution :-

Let ,

nth term of an A.P be '0'.

First term (a) =  -12

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

= -9 + 12

= 3

∴ d = 3

Substituting in the formula :-

0 = -12 + (n - 1)3

0 = -12 + 3n - 3

0 = -15 + 3n

3n = 15

n = 15/3

n = 5

∴ 5th term of an A.P is '0'.

Answer 2

Answer:

ywhich term of an arithmetic progression, -12, -9, -6 (0) zero