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julsineya [31]
2 years ago
10

Consider a sequence given by the formula f(n)=3n-1 starting with n=1. Generate the first 5 terms of the sequence

Mathematics
1 answer:
Rufina [12.5K]2 years ago
5 0

Answer:

The first 5 terms are 2, 5, 8, 11, 14.

Step-by-step explanation:

  1. You use the formula to find out each term.
  2. f(n)=3n-1 starting with n=1. If n=1 that is the 1st term, if n=2 that is the 2nd term, and so on. n means what number term it is.
  3. Now to find each term:
  • n=1: f(1)= 3(1)-1= 3-1= 2 The 1st term is 2
  • n=2: f(2)= 3(2)-1= 6-1= 5 The 2nd term is 5
  • n=3: f(3)= 3(3)-1= 9-1=8 The 3rd term is 8
  • n=4: f(4)= 4(3)-1= 12-1= 11 The 4th term is 11
  • n=5: f(5)= 5(3)-1= 15-1= 14 The 5th term is 14

So the first 5 terms are 2,5,8,11,14

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Determine the discount between the point(-4,2) and the line 4y=3×+6​
frozen [14]

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6​

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

6 0
2 years ago
Hint( not 8,even tho no one is gonna guess it anyways lol)<br> 4² - 6 ÷ 2 + 3
Kitty [74]
The answer is 2 cause you have to do the asides individually
7 0
3 years ago
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Suppose a population of deer in the state is 10, 289 and is growing 1% each year. Predict the population after 5 years
eimsori [14]

Answer: the population after 5 years is 10814

Step-by-step explanation:

The population growth of the deer is exponential. We would apply the formula for determining exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

n represents the period of growth

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 10289

r = 1% = 1/100 = 0.01,

t = 5 years

Therefore,

A = 10289(1 + 0.01)^5

A = 10289(1.01)^5

A = 10814

3 0
3 years ago
24= g/g +20. g/g is a fraction.
Stells [14]

Answer:

Subtract 20 from both sides.

24−20=9/g

2 Simplify 24-20 to 4

4=9/g

3 Multiply both sides by 9

4×9=g

4 Simplify 4×9 to 36

36=g

5 Switch sides.

g=36

Step-by-step explanation:hope it helps plz Mark me brainliest

8 0
3 years ago
Help it’s for my babies brother hw
kodGreya [7K]

Answer:

From left to right, -3/2, -4/5, -3/10, 1/2, 7/8, 4/3

Step-by-step explanation

So what we're trying to do here is to order the numbers from greatest to least.

Let's start off with the negative numbers.

-3/10, -4/5, -3/2.

Now what we want to do is give them all a common denominator to figure out which one is the least of that group.

-3/10,-8/10,-15/10.

Now on to the positive numbers.

1/2, 4/3, 7/8

Turn the denominator into 24.

12/24, 32/24, 21/24

Then put them all in order.

4 0
2 years ago
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