Question

4. Write the explicit rule for the arithmetic sequence in f(n) notation.Example-f(n)=3+2(n-1) *12, -2, – 12, – 22...

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

12, -2, – 12, – 22...

arithmetic sequence = ?

Step 02:

arithmetic sequence:

an = a1 + (n - 1) d

a1 = 12

a2 = -2

d = a2 - a1 = -2 - 12 = -14

an = 12 + (n - 1) (-14)

The answer is:

an = 12 - 14 (n - 1)