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Lady_Fox [76]
3 years ago
7

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

Mathematics
2 answers:
Karolina [17]3 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]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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Represent the geometric series using the explicit formula.
Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2

General formula for geometric sequence is:

a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio

Putting the values of a1 and r

a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

7 0
3 years ago
Some investments in the stock market have earned 10% annually. At this rate , earnings can be found using the formua A=P(1.10)^n
Lerok [7]
<span>The earnings by a stock invested at r% for n years is obtained by the formular A = P(1 + r)^n; where P is the initial investment = 1,500; r is the interest rate = 10% and n is the numberof years of the investment. Here A = 1,500(1 + 0.1)^18 = 1,500(1.1)^18 = 8,339.88.Hope this helps. Let me know if you need additional help!</span>
8 0
3 years ago
Read 2 more answers
What is 1.2x=6? And can You show me the work?
harina [27]
You basiclly divide 6 and 1.2 and get your answer.
5 0
3 years ago
Read 2 more answers
Soooo this was from yesterday and well i need to finish it so help
Vika [28.1K]

Answer:

9/20, 1/6, 46/63, and 7/12

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
1/4(x+3)+3/8x=13/4 SOLVE FOR X
larisa86 [58]
1. First I turned the fractions into decimals, just to make things easier for me.2. That gave me => (.25x)+(.75)+(.375)=(3.25)
3. Then, I combined like terms and move my equation around; so, that gave me (.25x) = (3.25) - (.75) - (.375) and when I solve the right side of the equation it gives me
(.25x) = (2.125)
4. After combining like terms and simplifying (the way I did in step 3), I will divide both sides by .25, to get the value of X alone; so, my equation then looks like => x=8.5

4 0
3 years ago
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