Question

Write the explicit formula for the following sequence then find the 7th term 500, 100, 20, 4

Answer 1

The first term of sequence is a = 500.

Determine the common ratio for the sequence.

`\begin{gathered} r=(500)/(100) \\ =5 \end{gathered}`

The general explicit formula is,

`a_n=a(r)^(n-1)_{}`

Here n is position of term in sequence.

Substitute the value of a and r in the sequence to obtain explicy formula of sequence.