3 years ago

What is 5/12 of a full rotation

Mathematics

1 answer:

wlad13 [49]3 years ago

4 0

Answer:

150 degrees

Step-by-step explanation:

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What fraction of one day is 36 mins

Nezavi [6.7K]

Answer:

1 day = 1440min

so 36min of a day = 36/1440 = 1/40

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2 years ago

What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125

kykrilka [37]

Since the sequence is geometric, there is some constant $r$ such that the sequence is recursively given by

$a_n=ra_{n-1}$

By this definition, you can recursively substitute into the right hand side the definition for $a_{n-1},a_{n-2},\ldots$ to find an explicit formula for the $n$ th term.

$a_n=ra_{n-1}=r^2a_{n-2}=r^3a_{n-3}=\cdots=r^{n-1}a_1=-625r^{n-1}$

You know the second term, which means you can find $r$ :

$a_2=-625r^{2-1}\implies125=-625r\implies r=-\dfrac15$

So, the 7th term of the sequence is

$a_7=-625\left(-\dfrac15\right)^{7-1}=-\dfrac1{25}$