Arithmetic – Page 133

Prove-k-1-n-n-n-k-k-2-n-1-

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Question Number 4092 by Filup last updated on 28/Dec/15 $Prove :$ $\underset{k = 1}{\sum^{n}} \frac{n!}{(n - k)! k!} = 2^{n} - 1$ Answered by Yozzii last updated on 28/Dec/15 $${According}\:{to}\:{the}\:{Binomial}\:{Theorem},…

Can-we-prove-pi-is-tracendental-

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Question Number 4066 by Filup last updated on 27/Dec/15 $Can we prove π is tracendental ?$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-69557

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Question Number 69557 by aliesam last updated on 24/Sep/19 Answered by MJS last updated on 24/Sep/19 $x = 72$ Terms of Service Privacy Policy Contact:…

Is-this-solvable-y-f-x-floor-function-dy-dx-

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Question Number 3928 by Filup last updated on 24/Dec/15 $Is this solvable :$ $y = ⌊ f (x) ⌋ floor function$ $\frac{d y}{d x} = ? ? ?$ Commented by Yozzii last updated on 25/Dec/15…

For-S-1-1-2-1-3-1-n-S-H-n-Harmonic-sequence-H-n-i-1-n-1-i-Can-you-solve-the-partial-sum-

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Question Number 3929 by Filup last updated on 25/Dec/15 $For :$ $S = 1 + \frac{1}{2} + \frac{1}{3} + \dots + \frac{1}{n}$ $S = H_{n} H a r m o n i c s e q u e n c e$ $H_{n} = \underset{i = 1}{\sum^{n}} \frac{1}{i}$ $C a n y o u s o l v e t h e p a r t i a l s u m ?$ Commented…

Question-69393

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Question Number 69393 by 06 last updated on 23/Sep/19 Commented by Prithwish sen last updated on 23/Sep/19 $$\left(\mathrm{3}^{\mathrm{t}} +\mathrm{3}^{−\mathrm{t}} \right)^{\mathrm{3}} =\:\mathrm{5}^{\mathrm{3}} \Rightarrow\mathrm{27}^{\mathrm{t}} +\mathrm{27}^{−\mathrm{t}} +\mathrm{3}.\mathrm{3}^{\mathrm{t}} .\mathrm{3}^{−\mathrm{t}}…

prove-or-disprove-i-1-n-p-1-i-p-2-p-1-p-2-P-1-2-np-1-n-1-p-2-1-2-n-n-1-p-2-p-1-n-2-n-2-p-1-p-2-p-i-a-1-a-2-a-n-a-i-1-2-p-1-Z-p-1-0-n-Z-n-2-n-k-0-k-2-p-

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Question Number 3794 by Filup last updated on 21/Dec/15 $prove or disprove : \underset{i = 1}{\sum^{n}} p_{1} i = p_{2}$ $p_{1}, p_{2} \in P$ $\frac{1}{2} {n p}_{1} (n + 1) = p_{2}$ $$\frac{\mathrm{1}}{\mathrm{2}}{n}\left({n}+\mathrm{1}\right)=\frac{{p}_{\mathrm{2}} }{{p}_{\mathrm{1}}…

if-two-finite-sets-have-m-and-n-term-if-the-no-of-subset-of-first-set-is-112-more-then-the-no-of-subset-of-second-set-find-m-and-n-

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Question Number 69175 by Aditya789 last updated on 21/Sep/19 $i f t w o f i n i t e s e t s h a v e m a n d n t e r m . i f t h e n o o f s u b s e t o f f i r s t s e t i s 112 m o r e t h e n t h e n o o f s u b s e t o f s e c o n d s e t . f i n d m a n d n ?$ Answered by Rasheed.Sindhi last updated on 21/Sep/19 $∣ A ∣= m, ∣ B ∣= n$ $P (A) = 2^{m}, P (B) = 2^{n}$ $$\mathrm{P}\left(\mathrm{A}\right)−\mathrm{P}\left(\mathrm{B}\right)=\mathrm{2}^{{m}}…

if-the-fibonacci-sequence-is-1-1-2-3-5-8-13-21-34-where-it-is-1-1-2-2-3-5-3-5-8-how-can-we-represent-this-sequence-in-summitation-notation-or-product-notation-

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Question Number 3628 by madscientist last updated on 16/Dec/15 $i f t h e f i b o n a c c i s e q u e n c e i s$ $1, 1, 2, 3, 5, 8, 13, 21, 34 \dots$ $w h e r e i t i s 1 + 1 = 2, 2 + 3 = 5, 3 + 5 = 8, \dots$ $h o w c a n w e r e p r e s e n t t h i s s e q u e n c e$ $i n s u m m i t a t i o n n o t a t i o n Σ$ $o r p r o d u c t n o t a t i o n Π ?$ Commented by 123456…

x-1-x-2-2-2x-2-1-find-solution-

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Question Number 134670 by benjo_mathlover last updated on 06/Mar/21 $∣ x + \sqrt{1 - x^{2}} ∣ = \sqrt{2} ({2 x}^{2} - 1)$ $find solution$ Answered by EDWIN88 last updated on 06/Mar/21 $$\left(\mathrm{1}\right)\:\mathrm{1}−\mathrm{x}^{\mathrm{2}} \:\geqslant\:\mathrm{0}\:\Rightarrow\:−\mathrm{1}\leqslant\mathrm{x}\leqslant\mathrm{1}…

Category: Arithmetic