Question

Write a recursive formula for the following arithmetic sequence.

27, 20, 13, 6, ...
9 = 0
a
72
11
for n ≥ 2
0+0
=
ローロ

Answer 1

Explanation:

To write a recursive formula for an arithmetic sequence, you need to determine how each term relates to the previous term. In an arithmetic sequence, there is a common difference (d) between each term. In this case, the common difference is -7 because you are subtracting 7 from each term to get to the next one.

So, for this sequence: 27, 20, 13, 6, ...

The recursive formula for the nth term (aₙ) can be written as follows:

a₁ = 27 (the first term)

aₙ = aₙ₋₁ - 7 for n ≥ 2

This formula represents that each term (starting from the second term) is obtained by subtracting 7 from the previous term.