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3 years ago

11

There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the st

orage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?

2 answers:

nekit [7.7K]3 years ago

6 0

Answer:

1000 times greater.

Step-by-step explanation:

10^9 / 10*6

= 10^(9-6)

= 10^3

= 1000.

vesna_86 [32]3 years ago

3 0

Answer:

just took the test answer is C

Step-by-step explanation:

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what is the sum of a 7-term geometric series if the first term is negative 11 the last turn is -45056 and the common ratio is -4

patriot [66]

For a geometric sequence with common ratio $r$ , we have

$a_n=a_{n-1}r$

that is, the $n$ -th term in the sequence is the product of the previous term and the common ratio $r$ . So

$a_n=a_{n-1}r=a_{n-2}r^2=\cdots=a_1r^{n-1}$

Then the sum of the first 7 terms is

$S_7=\displaystyle\sum_{n=1}^7a_n=a_1+a_2+\cdots+a_7$
$\implies S_7=a_1+a_1r+\cdots+a_1r^6$

Notice that

$S_7r=a_1r+a_1r^2+\cdots+a_1r^7$

so we can subtract this modified sum from $S_7$ to get

$S_7-S_7r=S_7(1-r)=a_1-a_1r^7\implies S_7=a_1\dfrac{1-r^7}{1-r}$

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$S_7=(-11)\dfrac{1-(-4)^7}{1-(-4)}=144,188$

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3 years ago