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alexira [117]
2 years ago
9

Homework Progress 0 Find the nth term of the following sequence: 4 7 12 19 28

Mathematics
1 answer:
just olya [345]2 years ago
5 0

<em>Answer:</em>

n²+3

<em>Explanation:</em>

The differences between the terms are not the same, so this is not "linear". Knowing that the sequence may have started with a 1, you can try subtracting the first number with a number to get 1, and use that number to subtract the rest.

4 - 3 = 1
7 - 3 = 4
12 - 3 = 9
19 - 3 = 16
28 - 3 = 25

In this case, subtracting 3 to all the numbers gave us perfect squares! So this means the nth term has to do with squaring the number and adding three afterward! This can be checked.

√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5

As we found the values of these terms by subtracting three first and then finding its square root, the nth term will be the opposite; squaring and then adding three! Again, this can be checked!

1² + 3 = 4
2² + 3 = 7
3² + 3 = 12
4² + 3 = 19
5² + 3 = 28

Hope this helps !! :D

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Igoryamba

Answer:

Wait how much is the ball cost

Step-by-step explanation: Well if mrs. weeks buyed 2 balls for $150 then the balls cost $75. or if she have different kind of balls it can be $25 each and she bought 3 balls each kind.

3 0
4 years ago
Juan needs to rewrite this difference as one expression. First he factored the denominators. What step should Juan take next whe
cricket20 [7]

The next step Juan will take is to multiply the second fraction by (x-2)/(x-2).

Given that Juan needs to rewrite this difference as one expression (3x/(x²-7x+10))-(2x/(3x-15)) and factor the denominator as (3x/(x-2)(x-5))-(2x/3(x-5)).

An algebraic expression in mathematics is an expression composed of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.

The given expression is (3x/(x²-7x+10))-(2x/(3x-15))

Firstly, we will factored the denominator as

(3x/(x-2)(x-5))-(2x/3(x-5)).

Now, we will multiply and divide the second fraction by (x-2), we get

(3x/(x-2)(x-5))-((2x(x-2))/3(x-5)(x-2)).

Hence, the next step when subtracting these expressions (3x/(x-2)(x-5))-(2x/3(x-5)) is multiply the second fraction by (x-2)/(x-2).

Learn more about algebraic expression from here brainly.com/question/4344214

#SPJ4

5 0
2 years ago
What is 5 4/9 - 2 5/9
just olya [345]

Answer:

5 4/9 - 2 5/9= 26/9 or 2 8/9

Step-by-step explanation:

8 0
3 years ago
How are the functions f(x) = 16^x and g(x) = 16^1/2x related???
serious [3.7K]
F(x) = 16^x = 8^2x
g(x) = 16^1/2x = 8^x

So you can see the relationship. They are all of the type a^bx form, with same base of a, f(x) will have larger increasing rate.
6 0
3 years ago
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Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4.
grigory [225]

Answer: THIRD OPTION.

Step-by-step explanation:

Since  g(x) = -2f(x), then g(x) is:

g(x)=-2( x + 4)\\\\g(x)=-2x-8

In order to find which table represents g(x) = -2f(x) when f(x) = x + 4, you can follow these steps:

1. Substitute x=1 into the function g(x)=-2x-8:

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2. Substitute x=2 into the function g(x)=-2x-8:

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3. Substitute x=3 into the function g(x)=-2x-8:

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Notice that those ouput values (for x=1,\ x=2 and x=3) matches with the table provided in the third option. That table represents g(x) = -2f(x) when f(x) = x + 4:

6 0
3 years ago
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