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myrzilka [38]
2 years ago
15

What is the genaral term of this number pattern ? 45,41,37,33,29​

Mathematics
2 answers:
Zarrin [17]2 years ago
8 0

Answer:

<h2>aₙ = -4n + 49</h2>

Step-by-step explanation:

45, 41, 37, 33, 29, ....

a₁ = 45

a₂ = 45 - 4 = 41

a₃ = 41 - 4 = 37

a₄ = 37 - 4 = 33

a₅ = 33 - 4 = 29

...

It's an arithmetic sequence.

a₁ = 45, d = -4

A general term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Substitute:

aₙ = 45 + (n - 1) · (-4) = 45 - 4n + 4 = -4n + 49

konstantin123 [22]2 years ago
7 0

Answer:

-4n + 49

Step-by-step explanation:

it is going down by 4 each step, hence, -4 and 45 -- 4 = 45 + 4 = 49.

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Step-by-step explanation:

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Answer:

Rate of change  = 0.5

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Step-by-step explanation:

(10 , 125)   ;   (30 , 135)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

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2 years ago
A function f defined by f(x) = x² + px + q is such that f(3) = 6 and f¹(3) = 0. Find the value of q.
CaHeK987 [17]

Answer:

q = 15

Step-by-step explanation:

Given

f(x) = x² + px + q , then

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3p + q = - 3 → (1)

---------------------------------------

f'(x) = 2x + p , then

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=====================

Work Shown:

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