Question

The first three terms of a sequence are given. Write your answer as a decimal or whole number . Round to the nearest thousandth (if necessary ). 208,204,200 , Find the 45th term .

Answer 1

The common difference between each term in the sequence is -4.

To find the 45th term, we can use the formula for the nth term of an arithmetic sequence:
a_n = a_1 + (n-1)d

Where:
a_n = the nth term
a_1 = the first term
d = the common difference
n = the term number

Plugging in the given values:
a_45 = 208 + (45-1)(-4)
a_45 = 208 + 176
a_45 = 32

The 45th term of the sequence is 32.