Question

Use the sequence below

to complete each task.
3, -15, 75, ...
a. Identify the common ratio (r).
b. Write an equation to represent
the sequence.
C. Find the 5th term (a5)

Answer 1

Explanation:

3 , -15 , 75 ......

Common ratio (r)= second term ÷ first term

= -15 ÷ 3

= -5

`b) n^(th) \ term = a*r^(n-1) \\\\ t_(n)= 3*(-5)^(n-1)`

`c) t_(5)= 3*(-5)^(5-1)\\\\\\ = 3*(-5)^(4)\\\\= 3* 625\\\\= 1875`