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Agata [3.3K]
3 years ago
5

What is the explicit rule for the sequence?

Mathematics
1 answer:
NISA [10]3 years ago
4 0

9514 1404 393

Answer:

  an=12−1.5n

Step-by-step explanation:

The first term is 10.5.

The common difference is ...

  9 - 10.5 = -1.5

The n-th term can be described by ...

  an = a1 +d(n -1)

  an = 10.5 -1.5(n -1) = 10.5 -1.5n +1.5 . . . . eliminate parentheses

  an = 12 -1.5n

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Answer:

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Step-by-step explanation:

Given

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Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = (\frac{r}{r})^2

Going by the Pythagoras theorem, we can assume the following.

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So, we have:

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Having said that:

The expression can be further simplified as:

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Substitute values for sin and cos

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1 becomes

cos^2\theta + sin^2\theta = 1

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------------------------------

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