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pochemuha
2 years ago
13

50 points i neeeeeed help

Mathematics
1 answer:
viktelen [127]2 years ago
7 0

Answer:

  • B. a₁ = -6, aₙ = aₙ₋₁ + 4

Step-by-step explanation:

<u>From the given sequence we see that:</u>

  • Common difference is 4

<u>Find the first term:</u>

  • a₁ + 3*4 = a₄
  • a₁ + 12 = 6
  • a₁ = -6

<u>The recursive formula for this sequence is:</u>

  • a₁ = -6, aₙ = aₙ₋₁ + 4

Correct choice is B

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Answer:

A

Step-by-step explanation:

The general rule for the quadratic function is

y=ax^2+bx+c

Use the data from the table:

y(0)=6\Rightarrow 6=a\cdot 0^2+b\cdot 0+c\\ \\y(1)=4\Rightarrow 4=a\cdot 1^2+b\cdot 1+c\\ \\y(-1)=10\Rightarrow 10=a\cdot (-1)^2+b\cdot (-1)+c

We get the system of three equations:

\left\{\begin{array}{l}c=6\\ \\a+b+c=4\\ \\a-b+c=10\end{array}\right.

From the first equation

c=6, then

\left\{\begin{array}{l}a+b=-2\\ \\a-b=4\end{array}\right.

Add these two equations:

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So,

b=-2-a=-2-1=-3

The quadratic function is

y=1\cdot x^2-3x+6\\ \\y=x^2-3x+6

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lisov135 [29]

Answer: 60%

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2x3+5x2−97x+180

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