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

Sagot :

Given the sequence:

14, 20, 26

To find the recursive formula, use the formula below:

[tex]\begin{cases}a_1 \\ a_n=a_{n-1}+d\end{cases}[/tex]

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:

[tex]\begin{cases}a_1=14 \\ a_n=a_{n-1}+6\end{cases}[/tex]

ANSWER:

[tex]\begin{cases}a_1=14 \\ a_n=a_{n-1}+6\end{cases}[/tex]

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