Question

Write down in terms of n, an expression for the nth term of the following sequence:

b) 12 16 20 24 28​

Answer 1

nth term = 12 + 4(n-1)

Simplifying further:

nth term = 12 + 4n - 4

Combining like terms:

nth term = 4n + 8

Hence, the expression for the nth term of the sequence 12, 16, 20, 24, 28 is 4n + 8.

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""Ahmed Mansur"

Answer 2

Explanation:

Since the sequence is linear, we start by finding the difference between any term and the following one:

16 - 12 = 4

Now we multiply the difference by n:

4n

Since 4n for the first number in the list is 8 too low, we calibrate the equation accordingly:

4n + 8

We can check this against any number in the sequence and it will give the same value, so we have out answer.

This is the same process used to work out any nth term which is linear.