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ddd [48]
3 years ago
9

A sequence is defined recursively by f(0)=2 and f(n)=f(n+1)=-2f(n)+3 for n greater than or equal to 0, then f(2) is equal to

Mathematics
1 answer:
kykrilka [37]3 years ago
4 0

If you would like to know what is f(2), you can calculate this using the following steps:<span>

f(0) = 2
f(n+1) = - 2 * f(n) + 3
f(1) = - 2 * f(0) + 3 = - 2 * 2 + 3 = - 4 + 3 = - 1
f(2) = - 2 * f(1) + 3 = - 2 * (-1) + 3 = 2 + 3 = 5

The correct result would be f(2) = 5.</span>

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3x=5 (greater or less than one whole)
exis [7]

Answer:

elxidofososodododododo

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3 years ago
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What is the sum of the first five terms of a geometric series with a1 =20 and r =1/4?
drek231 [11]
The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,

                            <span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)

Substituting the known terms,
                           Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
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5 0
3 years ago
If 3 times a square of an integer is added to 1 times the integer, the result is 2
jarptica [38.1K]
Let unknown integer be n.

So then your sentence would translate to 3n² + n = 2.

If you need to solve for n then we can move 2 to left side by subtract both sides by 2:

3n² + n - 2 = 0

Now you can factor:

3n² + 3n -2n - 2 = 0

3n( n + 1 ) - 2( n + 1 ) = 0

( 3n - 2 )( n + 1 ) = 0

3n - 2 = 0   OR   n + 1 = 0

3n = 2   OR   n = -1

n = 2/3   OR   n = -1


Final answer: n = 2/3   OR   n = -1
6 0
3 years ago
All of the following are equivalent, except.
yulyashka [42]

Answer: B.

Step-by-step explanation: This is because you can't possibly have an exponent, there are no two of the same value being multiplied together.

5 0
2 years ago
Please help! if you answer it correctly, i'll give brainliest!!
lozanna [386]

Answer:

9 cm

Step-by-step explanation:

\sqrt[3]{729}

=\sqrt[3]{9*9*9}

=9

6 0
3 years ago
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