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
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