Write a recursive formula for the sequence: 12,-1,-14,-27...
To find a recursive formula for the given sequence, we need to identify the pattern between consecutive terms. In this case, we can see that each term is obtained by subtracting 13 from the previous term.
Let's denote the nth term of the sequence as a_n. We can then express the recursive formula as follows:
a_1 = 12 (the first term)
a_n = a_(n-1) - 13 (for n > 1, where a_(n-1) represents the previous term)
Thus, the recursive formula for the sequence is:
a_1 = 12
a_n = a_(n-1) - 13 (for n > 1)
To write a recursive formula for this sequence, we need to observe the pattern and identify the relationship between consecutive terms.
From the given sequence, we can see that each term is obtained by subtracting 13 from the previous term. Specifically, the first term is 12, and to get the second term, we subtract 13 from the first term: 12 - 13 = -1.
Using this pattern, we can write the recursive formula for the sequence:
a₁ = 12 (First term)
aₙ = aₙ₋₁ - 13 (Each subsequent term is obtained by subtracting 13 from the previous term)
Therefore, the recursive formula for the given sequence is:
a₁ = 12
aₙ = aₙ₋₁ - 13