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Alexxx [7]
2 years ago
9

In which situation below would you want to use the Explicit Formula instead of the Recursive Formula?

Mathematics
1 answer:
Luden [163]2 years ago
5 0

9514 1404 393

Answer:

  all of them, possibly excepting the 4th term

Step-by-step explanation:

The recursive formula is good if you have terms near the one of interest. It might be used for the 4th term, but that would require that you compute the three previous terms:

  7, 5, 3, 1 . . . . requires 3 subtractions

It can be about as easy to calculate ...

  a4 = 7 -2(3) = 1 . . . . requires two* subtractions and a multiplication

__

However, for the 7th, 11th, and 106th terms, it is impractical to list all previous terms. The explicit formula is a better choice.

A.  a4 = 7 -2(3) = 1

B.  a7 = -1 +10(6) = 59

C.  a106 = 2 +5(105) = 527

D.  a11 = -3 +4(10) = 37

_____

* The explicit formula is ...

  an = a1 +d(n -1)

The operations identified in this formula (in the order required by the Order of Operations) are subtraction, multiplication, and addition. For a negative common difference, that amounts to two subtractions and a multiplication.

For manual evaluation, the work involved in using the recursive or explicit formulas for the 4th term is about the same, if the arithmetic is easily done mentally (as here).

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Answer:

C

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent

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The corresponding angle is therefore ∠ C

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Then x = 88 → C

5 0
3 years ago
What f(5) if f(x) = -2x +1
Effectus [21]
F(5) is like X is 5
you just do this 
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     =-10+1
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5 0
3 years ago
In the equation y = 3x – 1, what is the value of y when x equals –3?
emmainna [20.7K]

Answer:

D. –10

Step-by-step explanation:

Given equation:

y = 3x – 1

what is the value of y when x equals –3?

Substitute x = -3 into the equation to find y

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= 3(-3) - 1

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y = -10

The correct answer is D. –10

8 0
3 years ago
Read 2 more answers
The travel-to-work time for residents in Ventura County is unknown. Assume the population variance is 39. How large should a sam
katen-ka-za [31]

Answer:

A sample size of 128 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.93}{2} = 0.035

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.035 = 0.965, so z = 1.81

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population(square root of the variance) and n is the size of the sample.

How large should a sample be if the margin of error is 1 minute for a 93% confidence interval

We need a sample size of n, which is found when M = 1. We have that \sigma = \sqrt{39}. So

M = z*\frac{\sigma}{\sqrt{n}}

1 = 1.81*\frac{\sqrt{39}}{\sqrt{n}}

\sqrt{n} = 1.81\sqrt{39}

(\sqrt{n})^2 = (1.81\sqrt{39})^2

n = 127.8

Rounding up

A sample size of 128 is needed.

7 0
3 years ago
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polet [3.4K]
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