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ella [17]
3 years ago
6

Lucia knows the fourth term in a sequence is 52 and the ninth term in the same sequence is 82. Complete the explanation of how s

he can find the common difference for the sequence. Then use the common difference to find the second term of the sequence
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

well, I really can't really understand the way you asked the question, But, If it helps I can give you the entire sequence all the way to 82.

The sequence is,

2, 12, 22, 32, 42, 52, 62, 72 , 82, ect...,

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BRAINIEST IF ANSWERED CORRECTLY
adoni [48]

An example of something that doesn't have a solution is something like x+2 = x+3

If we subtract x from both sides, then we end up with 2 = 3, which is always false.

No matter what we plug in for x, the original equation will always be false. The right hand side is always 1 larger than the left side. So that's why we don't have any solutions here.

Side note: equations of this form are known as contradictions (or we could say the equation is inconsistent).

=====================================================

An example of something that has one solution is 3x+2 = 2x+7

Solving this equation leads us to...

3x+2 = 2x+7

3x-2x = 7-2

1x = 5

x = 5

To verify the solution, we plug it back into the original equation

3x+2 = 2x+7

3(5)+2 = 2(5)+7

15+2 = 10+7

17 = 17

We get the same thing on both sides, so we get a true statement. This confirms that x = 5 is the solution to 3x+2 = 2x+7.

=====================================================

An example of an equation with infinitely many solutions is 2x+4 = 2(x+2)

Notice how both sides are the same thing. The 2(x+2) distributes out to get 2x+4

Since we have the exact same identical expression on both sides, this ultimately means no matter what we plug in for x, we'll get a true statement. True statements (like the conclusion at the last section) are simply anything with the same number on both sides after simplifying everything.

Side note: equations of this form are known as identities

5 0
3 years ago
List 3 values that would make this inequality true 8+y>11
alina1380 [7]
You could use so many for example 4, 10, 57, 5729, any number above 4 would work since that plus 8 would be greater than 11
4 0
3 years ago
Write these numbers as fractions. Simplify the answers. 0.5, 12.3, 0.07, 0.625
motikmotik

0.5 => 5/10 => 1/2

12.3 => 123/10

0.07 => 7/100

0.625 => 625/1000 => 25/40 => 5/8

4 0
3 years ago
Read 2 more answers
Lindsey’s cookie recipe uses 1 1/2 cups of brown sugar to make 2 dozen cookies. Lexi wants to make only 1 dozen cookies. How muc
Xelga [282]

Answer:

3/4 cups

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
in a fish tank, of the fish were orange and 5/100 of the fish were striped. what fraction of the fish were orange striped
satela [25.4K]
1/20 were striped if you want that as a decimal it would be 0.05 :)
3 0
3 years ago
Read 2 more answers
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