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Alinara [238K]
3 years ago
7

Write a recursive and an explicit formula to represent the following sequence 52, 40, 28, 16,...

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

Explicit tn = 52 + (n - 1)*(-12)

Recursive = tn = t(n - 1) - 12

Step-by-step explanation:

The difference between term n and term n - 1 is can be found by taking the difference between and 2 consecutive terms.

t3 = 28

t2 = 40

d = t3 - t2

d = 28 - 40

d = - 12

Explicit

tn = a1 + (n - 1)*d

a1 = 52

d = - 12

tn = 52 + (n - 1)*(-12)

<em><u>Example</u></em>

Find t5

t5 = 52 + (5 - 1)*(-12)

t5 = 52 + 4 * - 12

t5 = 52 - 48

t5 = 4

Recursive

tn = t(n - 1) - 12

<em><u>Example</u></em>

t5 = t4 - 12

t5 = 16 - 12

t5 = 4 just as it did before.

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3 years ago
HELP .-. A painter bought 16 gallons of paint, just to cover two rooms. One room is twice the size of the other room and require
givi [52]
The total number of gallons of paint needed for the big room is 3x and the number of gallons of paint needed for the small room is 2y. 
                                   3x + 2y = 16
Given the sizes of the room, the relation should be that,
                                    x = 2y
Solving the equation,
                                      3(2y) + 2y = 16
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3 years ago
FOR BRAINLIST ANSWER AND 10 POINTS ANSWER ALL PLZ !!!!!
igor_vitrenko [27]
<h2>Greetings!</h2>

A)

<h3>If you can see, every 4 minutes the amount of water is increasing at a constant rate. </h3>

197 - 153 = 44

285 - 241 = 44

<h3>This means that at 8 minutes, because there is 153 gallons already in, we can divide 8 by 4 to see how many groups of 4 minutes there were. </h3>

8 ÷ 4 = 2

So then we can subtract two lots of 44 from 153:

153 - (44 x 2) = 65

<h3>So the starting amount was 65.</h3>

B)

<h3>The answer to B is the second option, because it is true that the amount of water is increasing. This is by 44 gallons per 4 minutes.</h3>

The amount of gallons per minute can be found out by dividing the amount by 4:

44 ÷ 4 = 11

<h3>So it is 11 gallons per minute.</h3>
<h2>Hope this helps!</h2>
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I think your answer is A. (0,5)
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3 years ago
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