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patriot [66]
3 years ago
5

Given the sequence rn defined recursively below, find r3. r1rn=2=−rn−1+n−2

Mathematics
1 answer:
kifflom [539]3 years ago
7 0

Answer:

r_3=3

Step-by-step explanation:

Given:

r_1=2\\r_n=-r_{n-1}+n-2

We want to find the value of r_3 .

\\r_2=-r_{2-1}+2-2\\r_2=-r_1\\r_2=-2\\\\r_3=-r_{3-1}+3-2\\r_3=-r_{2}+1\\r_3=-(-2)+1\\r_3=2+1\\r_3=3

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Find the smaller of 2 consecutive intergers, x, if the sum of the smaller and 6 times the larger is -29. Write an equation to de
Irina18 [472]

Answer:

x = -5 and x+1( consecutive integer) = -4

obviously x is smaller than the next integer

Step-by-step explanation:

Let the first integer be x

hence the consecutive integer is x +1

according to the give condition

x + 6(x + 1) = -29

x + 6x + 6 = -29

7x = -29 -6

7 x = -35

x = -35/7

x = -5

x + 1 = -5 + 1 = -4

GOOD LUCK FOR THE FUTURE! : )

8 0
2 years ago
Louise bought 1 1/4 pounds of roast beef at $2.00 per pound and ​ 2 1/2 ​pounds of turkey at $1.50 per pound. What was her total
Travka [436]
To do this you would have to do $2.00 times 1 1/4 to get the price of roast beef and $1.50 times 2 1/2.
1)To make it easier change the fractions to decimals.
(1.25)&(2.5)
2) Then do $2.00(1.25) to get
$2.50 for roast beef
3) Then do $1.50(2.50) to get
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6 0
2 years ago
Independent Practice
aleksklad [387]

Answer:

A.

2 72 square root of 7

Step-by-step explanation:

Combine the fractions by finding a common denominator.

Exact Form:

2

7

Decimal Form:

0.

¯¯¯¯¯¯¯¯¯¯¯¯

285714

Simplify the expression.

Exact Form:

2

√

7

Decimal Form:

5.29150262

…

8 0
3 years ago
The winner in a vote for class president received 3/4 of the 240 votes. How many votes did the winner receive
zubka84 [21]
The winner received 180 votes.

4 0
3 years ago
hot dog buns are sold in packages of 8 and 12. taro bought 192 total buns for a party. This is represented by the function 8x +
Lelu [443]
Here is the graphical representation of the function you provide.

You can see the the points in which the line intersects each axis.

Every point in the line is a possible option for which hot dog package was bought.

For example, Taro might have bought 0 of the packages of 8, and 16 packages of 12.

or He might've bought zero packages of 12, and 24 packages of 8.

6 0
3 years ago
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