I'm having trouble figuring out what to do with this...

Question

Given the first term a1, and the common difference d of an arithmetic sequence, find the next five terms.

a1= 6a+2, d= 3-2a

Answer 1

To begin, you will add the difference to the a1, which is as follows:

a2 = 6a + 2 +3-2a = 4a +5

Now, you will add the common difference to the preceding term, beginning with a2. This is done below:

a3 = 4a +5 +3-2a = 2a +8

a4 = 2a +8 + 3-2a = 11

a5 = 11+ 3 -2a = -2a +14