Question:
The list of numbers – 10, – 6, – 2, 2,… is
(a) an AP with d = -16
(b) an AP with d = 4
(c) Fan AP with d = – 4
(d) not an AP
Solution:
(b) The given numbers are -10,-6,-2, 2…………………..
Here, a., = -10, a2 = -6, a3 = -2 and a4 = 2………
Since, $\quad a_{2}-a_{1}=-6-(-10)$
$=-6+10=4$
$a_{3}-a_{2}=-2-(-6)$
$=-2+6=4$
$a_{4}-a_{3}=2-(-2)$
$=2+2=4$
Each successive term of given list has same difference i.e., 4.
So, the given list forms an AP with common difference, d=4.
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.