Question

Select the explicit formula for this sequence:

13, 7, 1, -5, ...
A. a1=13 , aₙ=aₙ−1−6
B.aₙ=13−6n
C.∑₁₃ⁿ=113−6(n−1)
D.aₙ=13−6(n−1)

Answer 1

The explicit formula for the sequence 13, 7, 1, -5 is aₙ = 13 - 6(n-1).

Step-by-step explanation:

The explicit formula for the sequence 13, 7, 1, -5 is aₙ = 13 - 6(n-1). This formula allows you to find the value of any term in the sequence by plugging in the position number, n. For example, to find the value of the 5th term, you would substitute n = 5 in the formula: a₅ = 13 - 6(5-1) = 13 - 6(4) = 13 - 24 = -11.