Choose the correct answer from the given four options:
The list of numbers $ -10,-6,-2,2, \ldots $ is
(A) an AP with $ d=-16 $
(B) an AP with $ d=4 $
(C) an AP with $ d=-4 $
(D) not an AP
Given:
The list of numbers \( -10,-6,-2,2, \ldots \)
To do:
We have to choose the correct answer.
Solution:
$a_1 = -10, a_2=-6, a_3=-2$
This implies,
$a_3-a_2=-2-(-6)=-2+6=4$
$a_2-a_1=-6-(-10)=-6+10=4$
Here,
$a_3-a_2=a_2-a_1$
$d=a_3-a_2=a_2-a_1=4$
Therefore, the given list of numbers is an AP with $d=4$.
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