Arithmetic – Page 114

k-1-n-1-1-k-1-C-k-1-n-2-k-1-x-

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Question Number 141612 by Raxreedoroid last updated on 21/May/21 $\underset{k = 1}{\sum^{n - 1}} \frac{{(- 1)}^{k + 1} C_{k - 1}^{n - 2}}{{(k + 1)}^{x}} = ?$ Terms of Service Privacy Policy Contact: info@tinkutara.com

how-can-one-rougly-judge-548-879-

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Question Number 10536 by ajfour last updated on 16/Feb/17 $h o w c a n o n e r o u g l y j u d g e \frac{548}{879} ?$ Answered by ajfour last updated on 16/Feb/17 Terms of Service Privacy Policy Contact:…

A-number-2-2-2-find-the-number-

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Question Number 10521 by ajfour last updated on 16/Feb/17 $A n u m b e r (α β . . λ \dots μ 2) \times 2 = (2 α β . . λ \dots μ)$ $f i n d t h e n u m b e r .$ Answered by mrW1 last updated on 17/Feb/17 $$\left({Part}\:{I}\right) \…

A-sequence-of-numbers-T-1-T-2-T-3-T-n-satisfies-the-relation-T-n-1-n-2-nT-n-2-for-all-integers-n-1-if-T-1-2-find-a-The-values-of-T-2-T-3-T-4-b-An-expression-f

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Question Number 10487 by Saham last updated on 13/Feb/17 $A sequence of numbers T_{1}, T_{2}, T_{3}, \dots \dots . T_{n} satisfies$ $the relation T_{n + 1} + n^{2} = {nT}_{n} + 2 for all integers$ $n ⩾ 1 . if T_{1} = 2 . find$ $$\left(\mathrm{a}\right)\:\mathrm{The}\:\mathrm{values}\:\mathrm{of}\:\mathrm{T}_{\mathrm{2}} ,\:\mathrm{T}_{\mathrm{3}}…

An-exponential-sequence-of-positive-terms-and-a-linear-sequence-have-the-same-first-term-the-sum-o-their-first-term-is-3-the-sum-of-their-second-term-is-3-2-and-the-sum-of-their-third-term-is-6-

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Question Number 10488 by Saham last updated on 13/Feb/17 $An exponential sequence of positive terms and a$ $linear sequence have the same first term . the sum$ $o their first term is 3, the sum of their second term$ $is \frac{3}{2}, and the sum of their third term is 6 . find the$ $sum of their fifth term .$ Answered by mrW1 last updated…

The-fifth-nineth-sixteenth-terms-of-a-linear-sequence-are-consecutive-terms-of-an-exponential-sequence-1-Find-the-common-difference-of-the-linear-sequence-in-terms-of-the-first-term-2-Show-t

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Question Number 10489 by Saham last updated on 13/Feb/17 $The fifth, nineth, sixteenth terms of a linear$ $sequence are consecutive terms of an exponential$ $sequence .$ $(1) Find the common difference of the linear$ $sequence in terms of the first term$ $(2) Show that 21^{th}, 37^{th}, 65^{th} terms of the linear$ $$\mathrm{sequence}\:\mathrm{are}\:\mathrm{consecutive}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{an}\:\mathrm{exponential}…

A-sequence-of-numbers-T-1-T-2-T-3-Satisfies-the-relation-3T-n-T-n-1-6-Show-that-for-all-values-of-n-1-T-n-3-1-3-T-n-3-3-Hence-or-otherwise-show-that-if-T-1-

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Question Number 10485 by Saham last updated on 13/Feb/17 $A sequence of numbers T_{1}, T_{2}, T_{3}, \dots Satisfies the$ $relation {3 T}_{n} = T_{n - 1} + 6, Show that for all values$ $of n ⩾ 1, T_{n} - 3 = \frac{1}{3} (T_{n - 3} - 3) . Hence or otherwise$ $$\mathrm{show}\:\mathrm{that}\:\mathrm{if}\:\mathrm{T}_{\mathrm{1}} \:=\:\mathrm{4},\:\mathrm{T}_{\mathrm{n}} \:=\:\mathrm{3}\:+\:\mathrm{3}^{\mathrm{1}\:−\:\mathrm{n}}…

Question-75921

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Question Number 75921 by Master last updated on 21/Dec/19 Commented by Master last updated on 21/Dec/19 $\bar{8} \bar{A} \bar{B} = 8 \times 10^{2} + A \times 10 + B \times 10^{0}$ $$\overset{−} {\mathrm{8}}\overset{−} {\mathrm{A}}\overset{−}…

Find-the-minimum-value-of-k-such-that-for-arbitrary-a-b-gt-0-we-have-a-1-3-b-1-3-k-a-b-1-3-

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Question Number 141405 by iloveisrael last updated on 18/May/21 $F i n d t h e m i n i m u m v a l u e o f k$ $s u c h t h a t f o r a r b i t r a r y a, b > 0$ $w e h a v e \sqrt[3]{a} + \sqrt[3]{b} ⩽ k \sqrt[3]{a + b}$ Answered by EDWIN88 last updated on 18/May/21 $$\:\mathrm{consider}\:\mathrm{the}\:\mathrm{function}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\sqrt[{\mathrm{3}\:}]{\mathrm{x}} \…

If-12-x-y-and-4-provides-a-sequence-such-that-the-first-3-of-the-numbers-are-in-arithmetic-progression-Calculate-the-a-Possible-values-of-x-and-y-b-The-sum-of-the-A-P-c-The-product-of-the-la

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Question Number 10318 by Tawakalitu ayo mi last updated on 03/Feb/17 $If 12, x, y and 4 provides a sequence such that$ $the first 3 of the numbers are in arithmetic$ $progression . Calculate the$ $(a) Possible values of x and y$ $(b) The sum of the A . P$ $(c) The product of the last 3 numbers of$ $$\mathrm{the}\:\mathrm{G}.\mathrm{P} \…

Category: Arithmetic