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Elodia [21]
2 years ago
5

What is a formula for the nth term of the given sequence? a 135, -225, 375...

Mathematics
1 answer:
Kruka [31]2 years ago
5 0

Answer:

480n² - 1800n + 1455

Step-by-step explanation:

see attached

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Write a recursive rule for the sequence.
Vadim26 [7]

Answer:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

Step-by-step explanation:

This is the fibonacci sequence with each term times x.

Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.

That is:

1x+1x=2x

1x+2x=3x

2x+3x=5x

3x+5x=8x

So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.

f(1)=1x since first term of f is 1x

f(2)=1x since second term of f is 1x

Yes, I'm naming the sequence f.

So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...

Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.

So in general f(n)=f(n-1)+f(n-2).

So the full recursive definition is:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

8 0
3 years ago
(7)/((12)/(.14))=(50x)/(4.8)
umka2103 [35]

Answer:

x=0.00784

Step-by-step explanation:

5 0
2 years ago
Rewrite the quadratic funtion from standard form to vertex form. <br><br> F(x)=2x^2-20x+26
Olegator [25]
F(x)=2(x-5)^2-24 simple algebra
3 0
2 years ago
12x - 3x + 11 3 4x - (17 - 9x)
KengaRu [80]

sorry it won't let me show step by step but your answer is 150x-17

8 0
3 years ago
Read 2 more answers
4(x - 2) = 2x + 3(x - 5)
yaroslaw [1]

Answer:

x=7

Step-by-step explanation:

  1. 4(x-2) = 2x+3(x-5)
  2. 4x-8 = 2x+3x-15
  3. 4x-8 = 5x -15
  4. -x = -7
  5. x = 7

8 0
3 years ago
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