Question

Explain the rule for finding the next term in the sequence.
Find the next three terms in the sequence

a) 0,-4,-8,-12

(Show with working)

Use formula- a1+(n-1)d

Answer 1

The rule for finding the next term in the sequence is to add a constant value to the previous term.

a) We can see that each term in the sequence decreases by 4. This means that the constant difference, or common difference (d) is -4.

To find the next term using the formula, we can plug in the values:

a1 = 0 (the first term in the sequence)
n = 5 (since we want to find the 5th term)
d = -4

So, the formula becomes:

a5 = a1 + (n - 1) d
a5 = 0 + (5 - 1) (-4)
a5 = 0 - 16
a5 = -16

Therefore, the next three terms in the sequence are:

-16, -20, -24