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serious [3.7K]
2 years ago
8

Helpp me pleasee ╹◡╹

Mathematics
1 answer:
ivanzaharov [21]2 years ago
7 0

Answer:

y=4x

Step-by-step explanation:

X would be the blue and the 4 represents the number of which each blue is increased by.

4(1)=4

4(2)=8

4(3)=12

4(4)=16

4(5)=20

and so on

hope this helped

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The recursive function LaTeX: f\left(0\right)=1,\:f\left(n\right)=f\left(n-1\right)+2nf ( 0 ) = 1 , f ( n ) = f ( n − 1 ) + 2 n
m_a_m_a [10]

Question:

The recursive function f(0) = 1, f(n) = f(n-1) + 2n represents the nth term of a sequence. Determine the explicit function

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Step-by-step explanation:

Given

f(0) = 1

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Required

Write an explicit formula

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Let n = 2

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Let n =3

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f(3)=f(2) + 6

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Let n = 4

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So, we have:

f(1) = 3= 1 + 2 * 1=1+0*1*2*1

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f(4) = 21 = 13 + 2 * 4= 1+3*4 +2 *4

Following the above pattern:

f(n) = 1 + (n - 1) * n + 2 * n

f(n) = 1 + n(n - 1) + 2n

Open bracket

f(n) = 1 + n^2 - n + 2n

f(n) = 1 + n^2 + n

f(n) = n^2 + n+1

3 0
2 years ago
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