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Alexxx [7]
3 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]3 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:

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Step-by-step explanation:

The measurement scale that is being used to classify sleep is the ordinal measurement. In this question, the variable that is called sleep quality is a categorical variable. categorical variables are variables that have the data representing groups. sleep quality has been given this categorical order extremely low very low low and extreme high.

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3 years ago
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He ended up buying lesser grapes. This was about 12 3/5 - 11 1/3 = 1 4/15 less. This means that he ended up with about 1 pound less grapes

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Step-by-step explanation:

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