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lawyer [7]
3 years ago
10

Consider the sequence given by the formula a(n + 1) = 5a(n) and a(1) = 2 for n ≥ 1.

Mathematics
1 answer:
saw5 [17]3 years ago
3 0

Answer:

The formula means; a of the next arithmetic n equals to 5 multiplied by a of the preceding n knowing that a of when n=1 is 2 and n must be 1 or greater than 1.

Step-by-step explanation:

a(n + 1) = 5* a(n)  for n≥1

given that

a(1) = 2

therefore:

when n = 1, a(2) = 5* a(1) = 5 * 2 = 10

when n = 2, a(3) = 5*a(2) = 5 * 10 = 50

.

.

.

The formula means; a of the next arithmetic n equals to 5 multiplied by a of the preceding n knowing that a of when n=1 is 2 and n must be 1 or greater than 1.

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kyle's room is 12.5 feet long. he wants to put up a poster that takes up 0.35 of the length of the wall.how lon should his poste
faust18 [17]

Answer:

The poster should be 4.375 ft long.

Step-by-step explanation:

0.35 * 12.5 ft = 4.375 ft

Answer: The poster should be 4.375 ft long.

7 0
3 years ago
1. Four family members attended a
Reika [66]

Answer:

i think it is the first answer

Step-by-step explanation:

8 0
3 years ago
Casey has 48 peppers and 16 yellow peppers . If he wants to put the peppers into baskets so that each basket has the same number
liraira [26]

Answer:

3 red peppers and 1 yellow pepper in each basket.

Step-by-step explanation:

We have been given that Casey has 48 peppers and 16 yellow peppers. He wants to put the peppers into baskets so that each basket has the same number of red and yellow peppers. We are asked to find the number of red and yellow papers in each basket.

To solve our given problem, we need to find greatest common factor of 48 and 16.

Prime factorization of 48 is 2\times 2\times 2\times 2\times 3.

Prime factorization of 16 is 2\times 2\times 2\times 2.

Greatest common factor of 48 and 16 would be 2\times 2\times 2\times 2=16.

Therefore, Casey can make 16 baskets with same number of red and yellow peppers.

Now we will divide 48 and 16 by 16 to find number of red peppers and yellow peppers in each basket respectively.

\text{Red peppers in each baseket}=\frac{48}{16}=3

\text{Red peppers in each baseket}=\frac{16}{16}=1

Therefore, there will be 3 red peppers and 1 yellow pepper in each basket.

6 0
3 years ago
At the grocery store, 4 pints of ice cream cost $7.32. How much would 20 pints of ice cream cost?
sukhopar [10]

Answer:

$36.6 for 20 pints of ice cream

Step-by-step explanation:

4 pints = $7.32.

20 pints = ?

you need to cross multiply or you can just multiply $7.32. with 5.

8 0
3 years ago
Which of the following gives a single solution of the inequality |x+3|-2<0 and shows a graph that can be used to determine th
weeeeeb [17]

The solution to the inequality |x + 3| - 2 < 0  is -5 < x < -1 as shown in the graph attached

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Inequality is an expression used to show the non equal comparison of two or more numbers and variables.

Given that:

|x + 3| - 2 < 0

Hence:

(x + 3) - 2 < 0   and -(x + 3) - 2 < 0

x < -1 and x > -5

The solution to the inequality |x + 3| - 2 < 0  is -5 < x < -1 as shown in the graph attached

 

Find out more on equation at: brainly.com/question/13763238

#SPJ1

5 0
2 years ago
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