Question

What are the next three terms in the sequence 4, -1, -6, -11, ...?

-16, -21, -26
-14, -21, -26
-14, -17, -20
-18, -25, -32

Answer 1

a_i = a_(I-1) - 5
So next 3 terms are
-16, -21, -26

Answer 2

This is an aarithmatic sequence. We need to find the common difference between subsequent terms.

We get:
\[-1 - 4 = -5\]\[-6 - -1 =-5\]\[-11 - -6 = -5\]
so the common difference is -5. (i.e. to get each term we just keep subtracting 5).

The next terms are -16, -21, -26