Question

Find a formula for the general term an of the geometric sequence:

{ 10/3, 10/9, 10/27, 10/81, 10/243}

Express the common ratio r as a fraction and place in parentheses!

an = __________

Answer 1

Answer:
`\displaystyle (10)/(3)\left((1)/(3)\right)^(n-1)`

======================================================

Step-by-step explanation:

a = 10/3 is the first term

r = 1/3 is the common ratio

Multiply each term by r = 1/3 to get the next term.

Example:

(10/3)*(1/3) = 10/9

We then plug those two items into the formula

`a_n = a(r)^(n-1)`

to end up with the answer shown above.

The value of n is a positive integer.