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3 years ago

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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[~Answer~] (3.):

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

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[~Answer Explanation~]:

1:

Combine multiplied terms into a single fraction

Find common denominator

Combine fractions with common denominator

Multiply the numbers

Re-order terms so constants are on the left

Combine exponents

Rearrange terms

Find common denominator

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 = $\frac{-50 + 2\sqrt{681} }{7}$

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[~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

[-!AveryIsSomeHowAlive!-}

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