Write an explicit formula for the arithmetic sequence 15.6, 15, 14.4, 13.8, ..., and then find the 32nd term.

Answer: the 32nd term is - 3

Step-by-step explanation:

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d (n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 15.6

d = 15 - 15.6 = 14.4 - 15 = - 0.6

n = 32

The explicit formula for the arithmetic sequence is

Tn = 15.6 - 0.6 (n - 1)

We want to determine the value of the 32nd term, T32. Therefore,

T32 = 15.6 - 0.6 (32 - 1)

T32 = 15.6 - 18.6

T32 = - 3