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qwelly [4]
3 years ago
8

A sequence is recursively defined as a(n)=2a(n-2) for values of n>2. Find the seventh term of the sequence if a(1)=0 and a(2)

=1
Mathematics
1 answer:
Papessa [141]3 years ago
7 0

Answer:

a(7) = 0

Step-by-step explanation:

Using the recursive formula and a(1) = 0, a(2) = 1 , then

a(3) = 2a(1) = 2(0) = 0

a(4) = 2a(2) = 2(1) = 2

a(5) = 2a(3) = 2(0) = 0

a(6) = 2a(4) = 2(2) = 4

a(7) = 2a(5) = 2(0) = 0

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3 0
3 years ago
Rewrite the equation below so that it does not have fractions.
Eduardwww [97]

Answer:

6x-40=3

Step-by-step explanation:

3/4 x -5 =3/8

Multiply each side by 8 to get rid of the fractions.

8(3/4x -5 ) =8*3/8

Distribute

6x-40=3

5 0
3 years ago
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Ratio numbers of boys and girls in a school is 5:7 . If their are 600 students total how many girls are their
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8 0
2 years ago
HELP!!! Anyone know how to solve I know the answer is (-3) but I don’t know how to get there. Thanks!!
Dima020 [189]

Answer:   v = -3

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

Work Shown:

5 = \sqrt{-2-6v}+1\\\\5-1 = \sqrt{-2-6v}\\\\4 = \sqrt{-2-6v}\\\\4^2 = \left(\sqrt{-2-6v}\right)^2 \ \text{ .... square both sides}\\\\16 = -2-6v\\\\16+2 = -6v\\\\18 = -6v\\\\-6v = 18\\\\v = 18 \div (-6)\\\\v = -3

As you can see, we don't square both sides until the square root portion is fully isolated or on its own side. So it happens after we subtract 1 from both sides.

Technically, you are able to square both sides without first isolating the square root. But that would mean you'd have to use the FOIL rule and things would get a bit messier than they have to be. Not to mention that the square root term wouldn't fully go away (so you'd have to square again later down the line).

------------------

Checking the answer:

Replace every copy of v with -3. Simplify both sides. We should end up with the same number on each side

5 = \sqrt{-2-6v}+1\\\\5 = \sqrt{-2-6(-3)}+1\\\\5 = \sqrt{-2+18}+1\\\\5 = \sqrt{16}+1\\\\5 = 4+1\\\\5 = 5\\\\

The answer is confirmed.

4 0
3 years ago
4+xThe function g is defined by g(x) =5 + 3xFind g(5n).
Nikolay [14]

The function g is defined by:

g(x) = (4 + x) / (5 + 3x) ...(1)

Now, we need to find g(5n); that is, we make: x = 5n

Replacing this into equation (1):

g(5n) = (4 + 5n) / (5 + 3*(5n)) = (4 + 5n) / (5 + 15n)

So, the final answer is:

g(5n) = (4 + 5n) / (5 + 15n)

8 0
1 year ago
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