Question

the list of number -10, -6, -2, 2.... is(A) an ap with d= 16 (b) an ap with d 4 (c) an ap with d =-4 (d) not an ap

Answer 1

Heya user
Here is your answer !!

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The list of numbers are -----> -10 , -6 , -2 , 2 .

Here ,
a2 - a1 = -6 - ( - 10 ) = -6 + 10 = 4 .
and
a3 - a2 = -2 - ( - 6 ) = 4 .

So , a2 - a1 = a3 - a2 .
Hence , it is an ( b ) A.P. with d = 4

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Hope it helps !!

Answer 2

Answer:

Given series: 10,6,2,−2...

Let, a

1

=10,

a

2

=6,

a

3

=2,

a

4

=−2

d

1

=a

2

−a

1

=6−10=−4

d

2

=a

3

−a

2

=2−6=−4

d

3

=a

4

−a

3

=−2−2=−4

The differences are equal, hence common difference of this A.P. is d=−4