MATH SOLVE

4 months ago

Q:
# Natalia is writing a recursive formula to represent the sequence.8, 12, 18, 27, ..What value should she use as the common ratio in the formula?

Accepted Solution

A:

Natalia should use 3/2 as common ratioStep-by-step explanation:Common ratio is the ratio between consecutive terms of a geometric sequenceIt is denoted by rGiven sequence is:8, 12, 18, 27, ...Here[tex]a_1 = 8\\a_2 = 12\\a_3 = 18\\a_4 = 27[/tex]So,[tex]r = \frac{a_2}{a_1} = \frac{12}{8} = \frac{3}{2}\\r = \frac{a_3}{a_2} = \frac{18}{12} = \frac{3}{2}\\r = \frac{a_4}{a_3} = \frac{27}{18} = \frac{3}{2}[/tex]Hence,Natalia should use 3/2 as common ratioKeywords: geometric sequence, Common ratioLearn more about common ratio at:brainly.com/question/6166224brainly.com/question/6112033#LearnwithBrainly