Question

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

coordinate plane showing the point 2, 8, point 3, 4, point 4, 2, and point 5, 1.

an = 8(one half)n − 2; average rate of change is −6

an = 10(one half)n − 2; average rate of change is 6

an = 8(one half)n − 2; average rate of change is 6

an = 10(one half)n − 2; average rate of change is −6

Answer 1

@DangerousJesse

Answer 2

Rate of change = \(\large \frac{difference~~of~~rise}{difference~~of~~run}\)
Think of it as the change of the water level in a puddle at every hour. So at hour two, you have eight inches of water; at hour three, you have four inches; at hour four, you have two inches; and at hour five, you have one inch. Find the rate of change between your hours, and then find the average.