Question

say whether a, a+1, a+2, a+3 are in arithmetic progression ( AP ) or not.​

Answer 1

Answer:

Yes

Step-by-step explanation:

The common difference in same a+1-a = 1

also a+2-(a+1) = 1

similarly a+3-(a+2) = 1

Therefore it is an arithmetic progression

Answer 2

Answer:

The given sequence is 1,3,6,10,....

Let t

1

=1,t

2

=3,t

3

=6,t

4

=10....

We can see that,

t

2

−t

1

=3−1=2

t

3

−t

2

=6−3=3

t

4

−t

3

=10−6=4

The difference between any two consecutive terms is not constant.

Hence, the given sequence is not an A.P.