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steposvetlana [31]
3 years ago
6

Here are the first four terms of an arithmetic sequence.

Mathematics
2 answers:
ololo11 [35]3 years ago
5 0

Answer:

nth term = 7n - 2

Step-by-step explanation:

a = first term = 5

d = common difference = second term - first term

  = 12 - 5 =7

d = 7

a_{n} = a + (n-1)d

    = 5 + (n -1)7

    = 5 + 7n - 7          {add like terms}

    = 7n - 2

SashulF [63]3 years ago
3 0

Answer:

n_n = n_n-1 + 7

Step-by-step explanation:

All it does is it adds 7 to the previous term

n = n_(previous)+7

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Find the degree 3 Taylor polynomial P3(x) of function f(x)=(-3x+15)^(3/2) at a=2
OLEGan [10]

Take up to the third-order derivative:

f(x)=(-3x+15)^{3/2}

f'(x)=\dfrac32(-3x+15)^{1/2}(-3)=-\dfrac92(-3x+15)^{1/2}

f''(x)=-\dfrac94(-3x+15)^{-1/2}(-3)=\dfrac{27}4(-3x+15)^{-1/2}

f'''(x)=-\dfrac{27}8(-3x+15)^{-3/2}(-3)=\dfrac{81}8(-3x+15)^{-3/2}

Evaluate each derivative at x=a=2:

f(2)=9^{3/2}=27

f'(2)=-\dfrac929^{1/2}=-\dfrac{27}2

f''(2)=\dfrac{27}4\dfrac1{9^{1/2}}=\dfrac94

f'''(2)=\dfrac{81}8\dfrac1{9^{3/2}}=\dfrac38

Then the Taylor polynomial is

P_3(x)=f(2)+f'(2)(x-2)+\dfrac{f''(2)}2(x-2)^2+\dfrac{f'''(2)}6(x-2)^3

P_3(x)=27-\dfrac{27}2(x-2)+\dfrac98(x-2)^2+\dfrac1{16}(x-2)^3

4 0
3 years ago
What is 9 x 11? please explain ;)
lianna [129]

Answer:

99

Step-by-step explanation:

becasue I said so :)


4 0
3 years ago
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The capacity of a cylindrical water tank is 539 litres. If its height is 1.4 meter then find the radius of the base.​
natulia [17]

Answer:

350m

Step-by-step explanation:

  • capacity= volume/1000
  • but we know that volume of cylinder is πr²h so substitute it I'm the volume space
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3 years ago
For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output? A. Both compositions produce
o-na [289]
F(g(x)) = 2(5x+1)-6 = 10x+2-6 = 10x-4

g(f(x)) = 5(2x-6)+1 = 10x-30+1 = 10-29

10x-4>10-29 because from f(g(x)) you subtract less quantity. 
The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.
8 0
4 years ago
If bob has five apples and he eats 2 how many does he have left​
qwelly [4]

Answer:

3

Step-by-step explanation:

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3 years ago
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