Final answer:
To determine the nᵗʰ term of the sequence 15, 13, 11, 9, 7, which is an arithmetic sequence with a common difference of -2, use the formula aₙ = a₁ + (n - 1) × d.
Step-by-step explanation:
To find the nth term of the given sequence 15, 13, 11, 9, 7, we should first identify the pattern of the sequence. The sequence decreases by 2 each time, which indicates that it is an arithmetic sequence with a common difference of -2. To find the nth term of an arithmetic sequence, we use the formula:
an = a1 + (n - 1) × d
Where an is the nth term, a1 is the first term, n is the term number, and d is the common difference. The first term a1 is 15, and the common difference d is -2.
To find the nth term, substitute the known values into the formula:
an = 15 + (n - 1) × (-2)
Which simplifies to:
an = 17 - 2n
Therefore, the nth term of the sequence is 17 - 2n.