Final answer:
The formula for finding the nᵗʰ term of an arithmetic sequence is aₙ = a₁ + (n-1)d, where aₙ is the nᵗʰ term, a₁ is the first term, n is the position of the term, and d is the common difference.
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. The formula for finding the nth term of an arithmetic sequence is given by:
an = a1 + (n-1)d
where an represents the nth term, a1 represents the first term, n represents the position of the term, and d represents the common difference.
Given that the first term of the sequence is 16 and the second term is 15.92, we can identify that a1 = 16 and a2 = 15.92. To find the common difference, d, we subtract the first term from the second term:
d = 15.92 - 16 = -0.08
Now we can substitute all the known values into the formula to find the nth term:
an = 16 + (n-1)(-0.08)
This is the equation that can be used to determine the value of any term in the arithmetic sequence.