Question

WILL GIVE BRAINLIEST!!! 50POINTS. PLEASE EXPLAIN!
What is the recursive rule for this geometric sequence? 2, 1/2, 1/8, 1/32, ... Enter your answers in the boxes.
an=___⋅an−1, a1=___

Answer 1

$\bf \stackrel{a_1}{2}~~,~~\stackrel{2\cdot \frac{1}{4}}{\cfrac{1}{2}}~~,~~\stackrel{\frac{1}{2}\cdot \frac{1}{4}}{\cfrac{1}{8}}~~,~~\stackrel{\frac{1}{8}\cdot \frac{1}{4}}{\cfrac{1}{32}}\\\\ -------------------------------\\\\ a_n=\cfrac{1}{4}\cdot a_{n-1}\qquad \qquad a_1=2$

Answer 2

Answer:

an= 1/4 · an-1                                 a1= 2

Step-by-step explanation:

Got it correct on the test.