Question

The sequence −10, −6, −2, 2, ... is ______.

Options

• an A.P., Reason d = −16

• an A.P Reason d = 4

• an A.P., Reason d = −4

• is not an A.P.

Answer 1

The sequence −10, −6, −2, 2, ... is an A.P. Reason d = 4.

Explanation:

The given sequence is  –10, –6, –2, 2, ...

Here,

First term (a) = a₁ = –1

Second term = a₂ = –6

Third term = a₃ = –2

Common difference (d) = a₂ – a₁ 

= –6 – (–10)

= 4

a₃ – a₂ = –2 – (–6)

= 4

Since, a₂ – a₁ = a₃ – a₂

Thus, the given sequence is an A.P.