Question

Write an recurisve formula for an, the nth term of the sequence 14,20,26

Answer 1

Given the sequence:

14, 20, 26

To find the recursive formula, use the formula below:

`\begin{cases}a_1 \\ a_n=a_(n-1)+d\end{cases}`

Where, d is the common difference.

To find the common difference, we have:

d = a2 - a1 = 20 - 14 = 6

a1 = first term = 14

n = number of terms

The common difference is = 6

Thus, the recursive formula is:

`\begin{cases}a_1=14 \\ a_n=a_(n-1)+6\end{cases}`

ANSWER:

`\begin{cases}a_1=14 \\ a_n=a_(n-1)+6\end{cases}`