Question

in an A.P, if every term is added by the same constant then the resulting sequence forms​

Answer 1

If a constant is subtracted from each term of an A.P. the resulting sequence is also an arithmetic progression.

For example : Let the sequence be {a

1

,a

2

,a

3

...a

4

} be an arithmetic progression with common difference d.

Again subtract k to the above sequence.

Then the resulting sequence is a

1

−k,a

2

−k,a

3

−k... be an A.P.