Question

it is sequence 0,-4,-8,-12,_an a.p ? if it is an a.p find the common difference and the next two terms.

Answer 1

Yess...its an ap its common difference is -4 and next two terms are -16 & -20

Answer 2

Given:

A sequence 0, -4, -8, -12.

To Find:

If the given sequence is in Arithmetic Progression, find the next two terms, and the common difference.

Solution:

The given question can be solved by using the concepts of arithmetic progressions.

1. The given sequence is 0, -4, -8, -12.

2. The first term of the sequence is 0.

3. The second term in the sequence is -4. It can be also written as,

=> Second term = 0 + (-4),

4. The third term in the sequence is -8. It can be also written as,

=> Third term = -4 + (-4),

5. The fourth term in the sequence is -8. It can be also written as,

=> Fourth term = -8 + (-4),

6. The given sequence is in AP since every term is being added with a constant difference which is also known as the common difference.

7. Hence, the common difference of the given AP is -4.

8. The next two terms are,

=> Fifth term = -12 -4 = -16.

=> Sixth term = -16 - 4 = -20.

Therefore, the given sequence is in A.P, the next two terms of the given A.P are -16, -20. The common difference of the given A.P is -4.