Category Archives: Series

A problem on when one arithmetic sequence has a term twice the other arithmetic sequence term ?

Posted in Algebra, Sequences, Series | Tagged | Leave a comment

Precalculus Simple Interest

Sara’s parents decide to invest $500 on each of her birthday from the day she is born until she becomes 25. Each investment earns 6.4% /a simple interest. What will be the total amount of the investments when Sara is … Continue reading

Posted in Algebra, Sequences, Series | Tagged | Leave a comment

IB Math HL Maclaurin Series from differential equation

Find the first three non-zero terms in the Maclaurin series for y to approximate the solution of the following IVP , for

Posted in Calculus, Differential Equations, Series | Tagged , | Leave a comment

Radius of convergence of series (n!)^k/(kn)!x^n

If k is a positive integer, find the radius of convergence of the series

Posted in Calculus, Series | Tagged , , | Leave a comment

Effective rate of interest and how to calculate it ?

Posted in Algebra, Sequences, Series | Tagged | Leave a comment

IB HL question on fish in lake (detail solution)

It is known that the number of fish in a given lake will decrease by 7% each year unless some new fish are added. At the end of each year, 250 new fish are added to the lake. At the … Continue reading

Posted in Algebra, Sequences, Series | Tagged | Leave a comment

Math 1031 Durham University (Q 108 Generating Functions)

Evaluate in terms of the integer

Posted in Combinatorics, Series | Tagged , | Leave a comment

IB Math SL Paper 2,May 14, 2019 Question 7 on geometric sequence and changing index of summation

Posted in Algebra, Sequences, Series | Tagged | Leave a comment

IB Math SL Paper 2,May 7, 2021 Question 7 on Compound Interest and Geometric Series

Posted in Algebra, Sequences, Series | Tagged | Leave a comment

How to think of difference equations ?

Posted in Algebra, Differential Equations, Sequences, Series | Tagged , , | Leave a comment