# increasing

1. ### Solve Interest Rate Increasing Annuity

The following formula gives the initial payment for an increasing annuity (see: https://financeformulas.net/Growing-Annuity-Payment.html): P=V * (r-g)/(1-((1+g)/(1+r))^n) I need help solving for r. Can anybody help? Thanks
2. ### Weakly increasing squences

What is the reason for part iii ? Or how can it be explained ? Thanks.
3. ### Expand in increasing powers of y-1: (1+3y-1)3

Hello :) I am stuck on this question, if anyone has any ideas that would be awesome: Expand in increasing powers of y-1: (1+3y-1)3 Thank you!! Louise
4. ### Sketch a function that is increasing, decreasing, and range provided.

I am having a hard time going backwards for some reason when I am given the points and range. The question says: Sketch a function that is increasing on (-4,8), decreasing on (-7,-4) and has a range of [-2,5]. I made some points on the graph, but I am really lost on how my graph will look...
5. ### Increasing function check

Hi guys, I seem to be on here a lot lately, the reason for this is that we get given a load of worksheets and then we only get marked on a selected number of question so we don't get all the solutions. Anyway here is my question: Is this the right way of answering this type of question...
6. ### prove a rational function being increasing

Stuck in a "dumb" question for too long, and hence request for help. How can I prove (using the derivative as I presume) that \frac{x^a-1}{x^b-1} is a function increasing in x, when x>1 and a>b>0. Many thanks.
7. ### Help:to prove increasing function

I am stuck on figuring out why the following function is an increasing function when I read a paper. The function is the following: $f(x)=\dfrac{(x-1)\cdot c^x-2x\cdot c^{x-1}\,\,+x+1}{2^x-x-1}$, where $1<c<2$, and the independent variable x is on interval $(2,+\infty)$, i.e. $2<x<+\infty$. I...
8. ### How to prove the following function is increasing function?

Can you help me improve the following function f(x) is an increasing function? f(x) = [(x-1)*c^x-2*x*c^{x-1}+x+1]/(2^x-x-1), where the parameter 1<c<2, and the independent variable is on interval (0.5,1).

20. ### f ? c((a,b)) and limsup (?f/?x) ? 0 imply f increasing?

Prove or disprove: If f is continuous in \; (a, b) \; and \; \overline{\lim_{t \to x}} \frac{f(t) - f(x)}{t - x} \ge 0 \; for all x \in (a, b) Then f is monotonically increasing.