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Andrew [12]
3 years ago
6

F(x)

Mathematics
1 answer:
Murljashka [212]3 years ago
8 0

Answer:

34 Using only the values given in the table for the function

Step-by-step explanation:

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Let an be the sum of the first n positive odd integers.
sesenic [268]

Answer:

A) The first 4 terms of the sequences are: a_{1} =16, a_{2} =24, a_{3} =32 and a_{4} =40.

B) An explicit formula for this sequence can be written as: a_{n} =8*(n+1)

C) A recursive formula for this sequence can be written as:

\left \{ {{a_{1} =16} \atop {a_{n} =a_{n-1}+8}} \right.

Step-by-step explanation:

A) You can find the firs terms of this sequence simply selecting an odd integer and summing the consecutive 3 ones:

a_{n} = Odd_{n}+Odd_{n+1}+Odd_{n+2}+Odd_{n+3} (a.1)

a_{1}=1+3+5+7=16

a_{2}=3+5+7+9=24

a_{3}=5+7+9+11=32

a_{4}=7+9+11+13=40

B) Observe the sequence of odd numbers 1, 3, 5, 7, 9, 11, 13(...).

You can express this sequence as:

Odd_{n}=(2*n-1) (b.1)

If you merge the expression b.1 in a.1, you obtain the explicit formula of the sequence:

a_{n} = Odd_{n}+Odd_{n+1}+Odd_{n+2}+Odd_{n+3} (a.1)

a_{n} = (2*n-1)+((2*(n+1)-1))+((2*(n+2)-1))+((2*(n+3)-1)) (b.2)

a_{n} = 8*n+8 (b.3)

a_{n} =8*(n+1) (b.s)

C) The recursive formula has to be written considering an initial term and an N term linked with the previous term. You can see an addition of 8 between a term and the next one. So you can express each term as an addition of 8 with the previous one. Therefore, if the first term is 16:

\left \{ {{a_{1} =16} \atop {a_{n} =a_{n-1}+8}} \right. (c.s)

5 0
3 years ago
Find the product of (x + (3+5i))2<br> Please show step by step
Oksanka [162]

Answer: 2x + 10i + 6

Step-by-step explanation:

4 0
4 years ago
What is 36t squared plus 4s squared
Rzqust [24]
The answer is 36t^2+4s^2
we cannot combine the t and s terms since they are differnet
we can only facotr
4(9t^2+s^2)
6 0
4 years ago
You want to buy shoes and the The price is 40 and you buy it 10 days after and it is 1/5% off .
Mamont248 [21]
8 I think I don’t know the question you’re looking for.
6 0
3 years ago
The table shows the educational attainment of the population of Mars, ages 25 and over, expressed in millions. Find the probabil
Anastaziya [24]
<h3>Answer:  61/85</h3>

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

Explanation:

There are 170 million martians surveyed, note the "170" in the bottom right hand corner.

Of this total, there are 48 million who have completed 4 (or more) years of college. Refer to the bottom of the "4 or more" column.

This must mean that 170 - 48 = 122 million martians have not completed 4 or more years of college. This figure of 122 is effectively the sum of nearly everything in the bottom row, except for the 48 and the 170. In other words, 27+51+44 = 122.

We divide the values 122 over 170, and reduce fully, to get the answer we're after.

122/170 = (2*61)/(2*85) = 61/85

This can be thought of as "if we had 85 million people total, then 61 million of them did not complete 4 or more years of college".

Side note: 61/85 = 0.7176 = 71.76% approximately

8 0
3 years ago
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