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Sequences-and-series
New post in Sequences-and-series
how to find the first negative term in an AP
January 16th, 2023
arithmetic-progressions
sequences-and-series
What is nth term of sequence 1,2,5,14,42,132,...?
January 9th, 2023
sequences-and-series
find sum of n terms of the sequence 1.3.(2^2) + 2.4.(3^2)+3.5.(4^2)+.......
November 4th, 2022
telescopic-series
sequences-and-series
discrete-mathematics
summation
fractions
Series into sigma notation
September 18th, 2022
summation
integers
sequences-and-series
notation
hard problem in sequences
December 11th, 2022
sequences-and-series
real-analysis
How do you find the sum of a series going from negative infinity to -1?
December 20th, 2022
sequences-and-series
Finding the general term of a partial sum series?
December 2nd, 2022
calculus
sequences-and-series
convergence-divergence
Harmonic Series Convergence
December 3rd, 2022
harmonic-numbers
sequences-and-series
calculus
How many 4 digit numbers end in a 0?
November 21st, 2022
sequences-and-series
Prove that a sum of continuous functions is continuous
October 23rd, 2022
sequences-and-series
continuity
Examples of not monotonic sequences which have no limit points?
November 15th, 2022
sequences-and-series
prove that sequence of rationals goes to infinity
November 10th, 2022
sequences-and-series
limits
Can you find a convergent sequence that is not bounded?
August 14th, 2022
convergence-divergence
sequences-and-series
Sum of finite series involving square roots
August 14th, 2022
sequences-and-series
summation
radicals
Find mising numbers from a sequence 1,4,?,16,?,36,?
July 22nd, 2022
sequences-and-series
pattern-recognition
What is this number called?
August 14th, 2022
sequences-and-series
terminology
calculus
100 meters head start for the turtle, would the rabbit...
July 31st, 2022
sequences-and-series
Find an equivalent formula for the sum = 2+4+6+.....+2n?
October 7th, 2022
sequences-and-series
The sum of all the odd numbers to infinity
August 10th, 2022
summation
elementary-number-theory
sequences-and-series
paradoxes
Is there a formula for the sequence of numbers 3-6-9-12-15-18-21-24-27-30-36-42-48-54-60-66-72-78-84-90-102-114-126-138-150 etc..?
August 1st, 2022
sequences-and-series
Find four numbers where first three are in AP and last three are in GP
October 18th, 2020
sequences-and-series
Cauchy's convergence criterion
August 1st, 2022
sequences-and-series
convergence-divergence
Is the sequence $\{1/n^2\}$ Cauchy?
August 1st, 2022
real-analysis
sequences-and-series
cauchy-sequences
If $a$, $b$, $c$ are three positive numbers in harmonic sequence, show that $a^2+c^2>2b^2$.
August 1st, 2022
sequences-and-series
harmonic-numbers
arithmetic-progressions
How to find closed form formula for sequences defined by $a_n = ra_{n-1} + d$
August 1st, 2022
recurrence-relations
closed-form
sequences-and-series
Finding non-recursive formula from recursive formula $a(n+1) = \frac{a(n) + a(n-1)}{2}$
August 1st, 2022
recursion
sequences-and-series
Find missing numbers in a sequence?
September 26th, 2020
arithmetic-progressions
sequences-and-series
There are 4 terms of an increasing arithmetic progression (AP) where one term is equal to the sum of the squares of the other three.
August 1st, 2022
sequences-and-series
algebra-precalculus
arithmetic-progressions
What is the sum of all 3-digit numbers which are multiples of 14 but are NOT multiples of 21?
October 16th, 2020
sequences-and-series
How to prove $\sum_{k=1}^∞ k r^{k-1} = \frac{(1)}{(1-r)^2}$
March 18th, 2020
calculus
sequences-and-series
power-series
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