## anonymous one year ago Shanna writes the formula f(x + 1) = 2.5f(x) when f(1) = 2 to represent this sequence: 2, 5, 12.5, 31.25, … Which error did Shanna make?

1. anonymous

A) She used the incorrect common ratio. B) She used the incorrect initial value. C) She should have multiplied by f(x) rather then have it as an exponent. D) She treated the sequence as geometric instead of arithmetic.

2. Owlcoffee

Well, you'll have to determine the common ratio the same way, divide the second by the first, and if it does not give 2,5 as a result, she used the wrong common ratio.

3. anonymous

what do you think @shaylaLuv ?

4. anonymous

B.

5. anonymous

I think shanna did nothing wrong

6. anonymous

$$f(x + 1) = 2.5f(x)$$, $$f(1) = 2$$, let $$x=1$$$f(2)=2.5f(1)=2.5 \times 2=5$and let $$x=2$$$f(3)=2.5f(2)=2.5 \times5=12.5$let $$x=3$$$f(4)=2.5f(3)=2.5 \times 12.5=31.25$