Question

Find the common difference of the arithmetic sequence -2,6,14,...

Answer 1

Lets note the change between each of the numbers in the sequence:

-2 --> 6 ---> 14

Next, make an equation between each of these numbers with x being the change between them

-2+ x = 6, 6 + x = 14 .

Now, solve each of these equations:

-2+ x = 6 --> -2+ x = 6 Add 2 on both sides to cancel out the -2 --> x = 8

6+ x = 14 --> -2+ x = 6 Minus 6 on both sides to cancel out the 6 --> x = 8

From this, the common difference will be 8.

Hope that helps.