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MArishka [77]
3 years ago
7

Converting Explicit formula to Recursive formula.

Mathematics
1 answer:
Kruka [31]3 years ago
8 0
The formula
a(n) = 2 - 5(n-1)
is in the form
a(n) = a1 + d(n-1)

where
a1 = first term = 2
d = -5 = common difference

The first term is carried over to the recursive formula. We start with a1 = 2. The next term after that is found by subtracting 5 from the previous term. So
second term = (first term) - 5
third term = (second term) - 5
and so on

The recursive step would be 
a(n) = a(n-1)-5

So that's why the answer is choice C
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Solve. Check your answer. <br> -3/z + 7/4z = 5/z-25
Anastaziya [24]

[~Answer~] (3.):

Hello there! I'm Avery, and I'm here to help you! I mostly believe the answer <em>Could be: (the answer is in the screenshot. I couldn't write it, so I typed it.)  </em>

<em>
</em>+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Answer Explanation~]:

1:

Combine multiplied terms into a single fraction

2:

Find common denominator

3:

Combine fractions with common denominator

4:

Multiply the numbers

5:

Re-order terms so constants are on the left

6:

Combine exponents

7:

Rearrange terms

8:

Find common denominator

9:

Combine fractions with common denominator

10:

Re-order terms so constants are on the left

11:

Rearrange terms

12:

Multiply all terms by the same value to eliminate fraction denominators

13:

Cancel multiplied terms that are in the denominator

14:

Distribute

15:

Move terms to the left side

16:

Distribute

17:

Subtract the numbers

18:

Rearrange terms

19:

Use the quadratic formula

20:

Simplify

21:

Separate the equations

22:

Solve

Answer:
z = \frac{-50 + 2\sqrt{681} }{7}

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Last Messages~]:

Okay, I really hope my answer is correct.

I am truly sorry if it's wrong :(

Have a great morning, afternoon, or night. <333

<u><em>[-!AveryIsSomeHowAlive!-}</em></u>

7 0
1 year ago
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