Question

Find the fifth term in the arithmetic sequence that begins at 6.7 and has a common difference of -20.4.

Answer 1

a=6.7
d=-20.4
n=5
\[t _{n }=a+(n-1)d \]

Answer 2

\(a_n = a_1 + (n-1)d\)
where
\(a_n\) = the term
\(a_1\) = the first term
\(n\) = the position of the term ( first, second, etc.)
\(d\) = common difference

in this case
\(a_1\) = 6.7
\(d\) = -20.4

\(a_5 = 6.7 + ((5 - 1) \times-20.4)\)

Evaluate that to find what \(a_5\) (or the fifth term) is.