Question

the list of number
-10-6-2, 2_
is.

an AP with d=4
an AP withd=8
an AP with d= 4
not an Ap
​

Answer 1

Step-by-step explanation:

Given that:

-10,-6,-2, 2,...

To find:

an AP with d=4

an AP withd=8

an AP with d= 4

not an Ap

Solution: To find it is an A.P.or not

calculate the common difference of consecutive terms

$d = - 6 - ( - 10) \\ \\ = - 6 + 10 \\ \\ d = 4$

For second and third term

$d = - 2 - ( - 6) \\ \\ d = - 2 + 6 \\ \\ d = 4$

Check for last two terms

$d = 2 - ( - 2) \\ \\ d = 2 + 2 \\ \\ d = 4$

Common difference of all the terms are equal.

So, given terms forms A.P.

with common difference d= 4

Option A and C are correct.

An A.P. with d= 4

Hope it helps you.

Answer 2

The list of numbers -10, -6, -2, 2,...... is

an AP with d=4

because

a2-a1=d

-6-(-10)=d

-6+10=d

4=d

d=4

so it is an AP with d=4