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I am Lyosha [343]
3 years ago
8

Write a recursive and explicit formula for the following sequence: 21, 24, 27, ...

Mathematics
2 answers:
irakobra [83]3 years ago
6 0
I just see that the numbers are going up by 3 each time
dimulka [17.4K]3 years ago
5 0
Okay so I have no idea and I’m trynna get help please thank this
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Ten more than a number is 62
Helga [31]
X + 10 = 62
x = 52
The number you started with is 52.
8 0
3 years ago
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The graph of F(x), shown below, resembles the graph of G(x) x2, but it has
Bingel [31]

Correct answer is: F(x)=-x^2-3

Step-by-step explanation:

We are given a function:

The graph of is also shown in the given question figure.

It is a parabola with vertex at (0,0).

Sign of is positive, that is why the parabola opens up.

General equation of parabola is given as:

Here, in G(x), a = 1

Vertex (h,k) is (0,0).

As seen from the question figure,

The graph of F(x) opens down that is why it will have:

Sign of as negative. i.e.

And vertex is at (0,-3)

Putting the values of a and vertex coordinates,

Hence, the equation of parabola will become:

7 0
3 years ago
Find the sum of the first 20 terms of an arithmetic sequence with an 18th term of 8.1 and a common difference of 0.25.
il63 [147K]

The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Given,

18th term of an arithmetic sequence = 8.1

Common difference = d = 0.25.

<h3>What is an arithmetic sequence?</h3>

The sequence in which the difference between the consecutive term is constant.

The nth term is denoted by:

a_n = a + ( n - 1 ) d

The sum of an arithmetic sequence:

S_n = n/2 [ 2a + ( n - 1 ) d ]

Find the 18th term of the sequence.

18th term = 8.1

d = 0.25

8.1 = a + ( 18 - 1 ) 0.25

8.1 = a + 17 x 0.25

8.1 = a + 4.25

a = 8.1 - 4.25

a = 3.85

Find the sum of 20 terms.

S_20 = 20 / 2 [ 2 x 3.85 + ( 20 - 1 ) 0.25 ]

         = 10 [ 7.7 + 19 x 0.25 ]

         = 10 [ 7.7 + 4.75 ]

         = 10 x 12.45

         = 124.5

Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Learn more about arithmetic sequence here:

brainly.com/question/25749583

#SPJ1

8 0
1 year ago
What is the solution to 2 6/7 divided by 2/14
Black_prince [1.1K]
The answer is 10 i believe 
4 0
3 years ago
Read 2 more answers
a football team gained 9 yards on one play and then lost 22 yards on the next.write a sum of intergers to find the overall chang
s2008m [1.1K]
Let x be the original position.

After the first play they gain 9 yards. The position can be represented by
x + 9

After the second play they lose 22 yards. The position can be represented by
x + 9 - 22 = x - 13

Therefore, in total they lost 13 yards.
5 0
3 years ago
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