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dimulka [17.4K]
3 years ago
13

What are the next 3 numbers in this sequence? 1,1,2,4,7,13,24,44

Mathematics
1 answer:
Bogdan [553]3 years ago
6 0
81,149, 274.... adding three numbers from the last would help you

like if you take 7 = 4 + 2 +1

or 13 = 7 + 4 +2

similarly 44+24+13 = 81
              81+44 +24 = 149
              149 + 81 +44 = 274

hope you get it!

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\boxed{\sf ^nC_r=\dfrac{n!}{r!(n-r)!}}

\\ \qquad\quad\sf\longmapsto \dfrac{n!}{2!(n-2)!}=\dfrac{n!}{4!(n-4)!}

\\ \qquad\quad\sf\longmapsto \dfrac{1}{2\times 1(n-2)!}=\dfrac{1}{4\times 3\times 2\times 1(n-4)(n-3)(n-2)!}

\\ \qquad\quad\sf\longmapsto 2=24(n-4)(n-3)

\\ \qquad\quad\sf\longmapsto 2=24\left\{n(n-3)-4(n-3)\right\}

\\ \qquad\quad\sf\longmapsto 2=24(n^2-3n-4n+12)

\\ \qquad\quad\sf\longmapsto 2=24(n^2-7n+12)

\\ \qquad\quad\sf\longmapsto 2=24n^2-168n+288

\\ \qquad\quad\sf\longmapsto 24n^2-168n=-286

\\ \qquad\quad\sf\longmapsto 24n^2-168n+286=0

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8 0
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If k is the constant of proportionality, write the equation that shows z is directly proportional to the square root of x and in
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That equation is ...

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4 0
4 years ago
Is 69 prime or composite
nasty-shy [4]
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4 years ago
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Step-by-step explanation:

7 0
3 years ago
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Step-by-step explanation:

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3 years ago
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