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rodikova [14]
3 years ago
14

1.Find the first five terms of the recursive sequence.

Mathematics
2 answers:
sveta [45]3 years ago
8 0

Answer:

Step-by-step explanation:

> 2f%283-1%29+%2B+3%2A3-> 2f%282%29+%2B+9-> 2%282%29+%2B9->4%2B9=13

a%5B3%5D=+13...third term

n=4

-> 2f%284-1%29+%2B+3%2A4-> 2f%283%29+%2B+12-> 2%2813%29+%2B12->26%2B12=38

a%5B4%5D=+38.....forth term

Nana76 [90]3 years ago
6 0

Answer:

4.5, - 27, 162, - 972, 5832

Step-by-step explanation:

Using the recursive rule and a₁ = 4.5 , then

a₂ = - 6a₁ = - 6 × 4.5 = - 27

a₃ = - 6a₂ = - 6 × - 27 = 162

a₄ = - 6a₃ = - 6 × 162 = - 972

a₅ = - 6a₄ = - 6 × - 972 = 5832

The first 5 terms are 4.5, - 27, 162, - 972, 5832

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3 years ago
Calen is comparing the prices per child for hosting a birthday at Mr. Bob’s Buffet and Sally’s Pizza Safari.
Bas_tet [7]

Answer:

The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

Step-by-step explanation:

<u><em>The missing table in the attached figure</em></u>

step 1

Find the cost per child at Mr. Bob’s Buffet

we know that

The cost per child or unit rate is the same that the slope of the linear equation

From the graph take two points

(0,0) and (4,60)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{60-0}{4-0}

m=\$15\ per\ child

step 2

Find the cost per child at Sally’s Pizza Safari.

From the data in the table

we have

(4,50) and (6,75)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{75-50}{6-4}

m=\$12.5\ per\ child

step 3

<u><em>Verify each statement</em></u>

case A) The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is true

Because

The cost per child is $15 at Mr. Bob’s Buffet

The cost per child is $12.50 at Sally’s Pizza Safari

The difference is $2.50 per child

case B) The cost per child is $10.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is false (see the explanation)

case C) The cost per child is $15.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is false (see the explanation)

case D) The cost per child is $5.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari.

The statement is false (see the explanation)

7 0
3 years ago
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