write a recursive formula for an the nth term of the sequence 5,3,1,-1 a1= an=
aₙ = aₙ₋₂ - 2 (where n ≥ 3)
To find a recursive formula for the nth term of the given sequence, we can observe the pattern between consecutive terms.
From the given sequence 5, 3, 1, -1, we can see that each term is obtained by subtracting 2 from the previous term. Therefore, the recursive formula can be written as follows:
a1 = 5
an = an-1 - 2, for n ≥ 2
This recursive formula states that the first term (a1) is 5, and for any term (an) after the first term, it is obtained by taking the previous term (an-1) and subtracting 2 from it.