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Hoochie [10]
4 years ago
8

What are the first three terms of the sequence represented by the recursive formula an=n^2-an-1 if a5=14 1/4

Mathematics
1 answer:
Firdavs [7]4 years ago
4 0

Answer:

  1/4, 3 3/4, 5 1/4

Step-by-step explanation:

Solving for a[n-1], we get ...

  a[n-1] = n^2 -a[n]

Then ...

  a[4] = 5^2 -a[5] = 25 -14 1/4 = 10 3/4

  a[3] = 4^2 -a[4] = 16 -10 3/4 = 5 1/4

  a[2] = 3^2 -a[3] = 9 -5 1/4 = 3 3/4

  a[1] = 2^2 -a[2] = 4 -3 3/4 = 1/4

Then the first three terms are a[1], a[2], and a[3]:

  1/4, 3 3/4, 5 1/4

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Step-by-step explanation:

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8 0
3 years ago
What is the remainder R when the polynomial p(x) is divided by (x + 1)? Is (x + 1) a factor of p(x)? p(x) = -3x4 + 2x3 - x2 + 6
vodka [1.7K]

Answer:

(x+1) is a factor with remainder 0.

Step-by-step explanation:

We divide (x+1) into the polynomial -3x^4+2x^3-x^2+6 through long division or synthetic. We choose long division and look for what will multiply with (x+1) to make the polynomial -3x^4+2x^3-x^2+6 .

(x+1)(-3x^3)=-3x^4-3x^3

We subtract this from the original -3x^4-(-3x^4)+2x^3-(-3x^3)-x^2+6.

This leaves 5x^3-x^2+6. We repeat the step above.

(x+1)(5x^2)=5x^3+5x^2.

We subtract this from 5x^3-(5x^3)-x^2-(5x^2)+6=-6x^2+6. We repeat the step above.

(x+1)(-6x)=-6x^2-6x.

We subtract this from -6x^2-(-6x^2)+0x-(-6x)+6=6x+6. We repeat the step above.

(x+1)(6)=-6x+1.

We subtract this from 6x-(6x)+6-(6)=0. There is no remainder. This means (x+1) is a factor.


7 0
3 years ago
There are 9 students in Ms. Q's class. Ms. Q wants to split up her class into three groups for a group project, and wants each g
Rufina [12.5K]

The number of ways of she can do it is 504 ways

<h3>What is permutation?</h3>

The formula for permutation is given as:

Permutation = \frac{n!}{n - r!}

Where:

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  • r is the number selected = 3

Substitute into the formula

Permutation = \frac{9!}{9 - 3!}

P( 9, 3) = \frac{9!}{6!}

P( 9, 3) = \frac{362880}{720}

P( 9, 3) = 504 ways

Thus, the number of ways of she can do it is 504 ways

Learn more about permutation here:

brainly.com/question/12468032

#SPJ1

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6 0
3 years ago
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Airida [17]
Take the original price and multiply it by the percentage (not in percentage form) and divide it by 100

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<u>$1.05 is the discount
</u>

7-1.05=5.95

<u>$5.95 is the ticket cost on a weekday</u>


4 0
3 years ago
Read 2 more answers
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