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comment What are some tricks to solve Progressions quickly?
@Anoneemus I'm from USA, and I don't believe I have ever heard the abbreviation MCQ used... At the very least, the idea of a "multiple choice question" is far enough removed from mathematics (and more soundly in the realm of pedagogy), that it is reasonable to expand the acronym.
Jul
21
comment Why does fixed point iteration only produce the solution greater than $1$ to the equation $Mx = e^x$ for $x \in \Bbb R$?
"so $M$ has gradient e^x$. I don't see how a constant has a non-zero gradient. Perhaps you meant to use a different word?
Jul
17
revised Generalizing the Fibonacci sum $\sum_{n=0}^{\infty}\frac{F_n}{10^n} = \frac{10}{89}$
added 9 characters in body
Jul
17
revised Generalizing the Fibonacci sum $\sum_{n=0}^{\infty}\frac{F_n}{10^n} = \frac{10}{89}$
added 4 characters in body
Jul
17
revised Generalizing the Fibonacci sum $\sum_{n=0}^{\infty}\frac{F_n}{10^n} = \frac{10}{89}$
added 9 characters in body
Jul
17
answered Generalizing the Fibonacci sum $\sum_{n=0}^{\infty}\frac{F_n}{10^n} = \frac{10}{89}$
Jul
17
comment Generalizing the Fibonacci sum $\sum_{n=0}^{\infty}\frac{F_n}{10^n} = \frac{10}{89}$
Although this gives the form requested, it does not technically prove the series converges; that must be done separately. But, +1 even so.
Jul
17
comment Generalizing the Fibonacci sum $\sum_{n=0}^{\infty}\frac{F_n}{10^n} = \frac{10}{89}$
@MarcusM I believe the standard definition is $S_i = 0$ for $i \leq 0$, $S_1=1$, and $S_i = S_{i-1} + \cdots + S_{i-k}$.
Jul
17
comment Generalizing the Fibonacci sum $\sum_{n=0}^{\infty}\frac{F_n}{10^n} = \frac{10}{89}$
I might be overlooking something, but I believe that something similar to Thomas Andrew's solution to your other question (generating functions) should give you the value, while convergence might be proven by showing $S_n/p^n < 1$ for sufficiently large $p$. (I haven't actually followed this path of reasoning out, but it "feels right." If I follow through it through, I'll leave a comment or answer explaining how it turned out.)
Jul
14
comment How many bridge hands have a $6$-card suit,a $5$-card suit.as well as $2$-card suit— which must include the ace of that suit?
I'm voting to close this question as off-topic because it is quite narrow and most likely will not be of archival use.
Jul
13
revised How to calculate with $\lceil \cdot \rceil$
Formatting...
Jul
3
comment Excel's EXP function compared to a series expansion
I've edited your post to take advantage of our math formatting. If you click "edit," you can see the code that I used.
Jul
3
revised Excel's EXP function compared to a series expansion
deleted 56 characters in body; edited tags
Jul
2
revised Help ! What is the equation?
edited tags
Jul
2
comment Help ! What is the equation?
This is not differential equations.
May
18
comment How prove that question
Approximate the square root and show this number is between the squares of the floor and ceiling of the approximation. Or, show that the prime factorization contains an odd power. Or...
May
15
comment What is the value of $i^0$?
@MartinBrandenburg I voted this down because of the insistence that both $0^0=1$ and that no disagreement is reasonable. If this answer were edited to recognize that some people disagree (so that people aren't surprised when their math teacher says "$0^0\neq 1$"), I would change my downvote to an upvote. (Even if the edit were to say something like "certain people do not consider $0^0=1$, but this doesn't make sense because of [reasons].")
May
14
reviewed No Action Needed Is the convolution an invertible operation?
May
14
comment normal subgroup in $S_3$?
You should test this by hand; there aren't too many multiplications to perform.
May
14
reviewed Looks OK How did they solve this partial differential equation