Find next two terms in sequence, identify pattern:

-7, 9, -11, 13, -15

17 and -19

Step-by-step explanation:

-7, 9, -11, 13, -15...

Next two terms of 1st difference are : 17 and -19.

Without the operation signs (eg: +,-...) they are going up in two.

It goes negative, then positive and so on.

By using this, I am able to work out the next two terms.

idk

step-by-step explanation:

i don't know

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.