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Lady_Fox [76]
4 years ago
7

What is the largest value in the sequence generated by the formula an = –n2 + 6n – 7?

Mathematics
2 answers:
Karolina [17]4 years ago
5 0
Derive the equation and equate the derivative to zero.
                              dan/dt = -2n + 6 = 0
The value of n in the equation is 3. We substitute 3 to the original equation,
                                           an = -(3)² + 6(3) - 7 = 2
The answer to this item is letter B. 
alexandr402 [8]4 years ago
3 0

Answer:

B

Step-by-step explanation:

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Question: Antonio is working with a new geometric series generated by the equation A(n)=20(1.1)^n-1.His sister challenged him to
Mekhanik [1.2K]

Answer:

sum of 22nd = 1,428.05

sum of 23 to 40 is 932.53

Step-by-step explanation:

A(n)=20(1.1)^n-1

20 is the first term or a1

1.1 is the common ratio or r

A(22) = 20(1.1)^22-1

22nd term = 20(1.1)^21

22nd term = 148.00

sum of geometric sequence

formula

Sn = a1(1-r^n)/1-r

Sn = sum

a1 = first term

n = number of term

r = constant ratio

sum of 22nd = 1,428.05.

23 to 40 is 17 terms

Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...

The 17th term: 105.684378686

Sum of the first 17 terms: 932.528165548

socratic

miniwebtoolcomgeometricsequencecalculator

6 0
3 years ago
Square root of 648.7209 by division method
SpyIntel [72]

Answer:

25.47

Step-by-step explanation:

This root can be rewritten as:

\sqrt{\frac{6487209}{10000} }

\sqrt{\frac{6487209}{100^{2}} }

\frac{1}{100}\cdot \sqrt{6487209}

Since 6487209 is a multple of 3, the expression can be rearranged as follows:

\frac{1}{100}\cdot \sqrt{3\times 2162403}

2162403 is also a multiple of 3, then:

\frac{1}{100}\cdot \sqrt{3^{2}\times 720801}

\frac{3}{100}\cdot \sqrt{720801}

720801 is a multiple of 3, then:

\frac{3}{100}\cdot \sqrt{3\times 240267}

240267 is a multiple of 3, then:

\frac{3}{100}\times \sqrt{3^{2}\times 80089}

\frac{9}{100}\cdot \sqrt{80089}

80089 is a multiple of 283, then:

\frac{9}{100}\cdot \sqrt{283^{2}}

\frac{9\times 283}{100}

\frac{2547}{100}

25.47

6 0
3 years ago
Don’t understand!! please help!! and show work!
goldenfox [79]

To find the correct answer, you have to simplify the equation.

Multiply -1/2 by everything in the parenthesis.

3/4x - 3x - 1/2 - 3x. Combine like terms.

-21/4x - 1/2. Turn -21/4x into a mixed number.

-5 1/4x - 1/2.

Your answer is D

3 0
3 years ago
The value of 2 to the 3rd power + 3 to the 3 power = ___.
Arturiano [62]
35.

2*2= 4*2=8

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3 years ago
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