Question

Question 4 (iv)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(iv) -10, - 6, - 2, 2 …

Answer 1

$-10,-6,-2,2\dots \dots \dots$
Here,
$a_2-a_1=(-6)-(-10)=4a_3-a_2=(-2)-(-6)=4a_4-a_3=\left(2\right)-(-2)=4$
$\Rightarrow a_{n+1}-a_n$ is same everytime.
Therefore, d=4 and the given numbers are in A.P.
Next three terms are:
$a_5=2+4=6a_6=6+4=10a_7=10+4=14$