Geometric series
1. 3+12+48+192 ..., n=9

2. -0.8+4-20+100 .. n=8

the answer is c.

for continuous functions, they continue in the same pattern and you have to find that pattern kinda like slope

i believe the answer is letter c) 8

step-by-step explanation:

hi there!

the answer will be d: 2

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.