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3 years ago

2, 4, 13, 49, 193,

Mathematics

2 answers:

PolarNik [594]3 years ago

7 0

If we begin with the first term, 2, mult. it by 4 and then subtract 3, we get 5 (not 4, as shown).

If we begin with 4, mult. it by 4 and then subtract 3, we get 13. This agrees with the terms of the given sequence.

If we begin with 13, mult. it by 4 and then subtract 3, we get 49. This agrees with the terms of the given sequence.

Remove the first term, 2, and then the remaining terms follow the given procedure for finding terms.

AlekseyPX3 years ago

3 0

2 because if you multiply by 4,then subtract 3,you get 5 not 13.

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2 years ago

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2 years ago

What’s the answer to number 4 ?

Marizza181 [45]

Answer:

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Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

Csc (2sin^-1(-12/13))<br> that is 2 times inverse sin of -12/13

german

Answer: $-\frac{169}{120}$

I'm assuming you mean this:

$cosec(2sin^{-1}(\frac{-12}{13}))$

Recall what the cosecant function represents. It is the reciprocal of a sine function, and is often written in this form:

$\frac{1}{sinx}$

So, using the sine relationship:

$cosec(2sin^{-1}(\frac{-12}{13})) = \frac{1}{sin(2sin^{-1}(\frac{-12}{13}))}$

Let $u = sin^{-1}(\frac{-12}{13})$
$cosec(2sin^{-1}(\frac{-12}{13})) = \frac{1}{sin(2u)}$
$= \frac{1}{2sinu \cdot cosu}$
$= \frac{1}{2sin(sin^{-1}(\frac{-12}{13})) \cdot cos(sin^{-1}(\frac{-12}{13}))}$
$= \frac{1}{\frac{-24}{13} \cdot \sqrt{1 - (\frac{-12}{13})^{2}}}$
$= \frac{1}{\frac{-24}{13}} \cdot \frac{1}{\sqrt{1 - \frac{144}{169}}}$
$= -\frac{13}{24} \cdot \frac{1}{\sqrt{\frac{25}{169}}}$
$= -\frac{13}{24} \cdot \frac{1}{\frac{5}{13}}$
$= -\frac{13}{24} \cdot \frac{13}{5}$
$= -\frac{169}{120}$

3 0

2 years ago