Question

If the common difference of the A.P. a1, a2, a3 ,.... , is d, then the common difference of the A.P. 2a1+3, 2a2+3, 2a3+3...is ..?

Answer 1

@phi

Answer 2

I would subtract the 1st 2 terms of the second A.P. what do you get ?

Answer 3

2d+3?

Answer 4

do second term minus first term

Answer 5

2a2-2a1

Answer 6

(2a2+3) - ( 2a1+3) = ?

Answer 7

two more things:

1) they tell you that a2 - a1 = d (the first A.P.)
2) you can factor 2 out of (2a2 - 2a1)

Answer 8

so the difference is 2d

Answer 9

2d

Answer 10

ok, i see