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elena55 [62]
3 years ago
8

Determine the 18th term of the sequence 3,9,27,...

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:

x_{18}=387420489

Step-by-step explanation:

So we have the sequence:

3, 9, 27...

First, note that this is a geometric sequence because each subsequent term <em>not </em>increasing linearly.

To find the 18th term, we can write an explicit formula.

The standard explicit formula for a geometric sequence is:

x_n=a(r)^{n-1}

Where a is the initial term, r is the common ratio, and n is the nth term.

From the sequence, we can see that the initial term a is 3. The common ratio is 3 since each subsequent term is 3 times the previous term. So, substitute:

x_n=3(3)^{n-1}

To find the 18th term, substitute 18 for n. So:

x_{18}=3(3)^{18-1}

Subtract:

x_{18}=3(3)^{17}

Evaluate:

x_{18}=3(129140163)

Multiply:

x_{18}=387420489

And we're done!

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a baker makes 130 loaves so that there are 6 times as many white loaves as granary loaves. half as many brown loaves as white lo
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Answer:

Answer: 78 whites, 13 granary, 39 brown.

Step-by-step explanation:

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3 years ago
How much is the number 727731000 in percent form
tankabanditka [31]

Answer:

72773100000%

Step-by-step explanation:

"Percent" means "per 100" or "over 100". So, to convert 727731000 to percent we rewrite 727731000 in terms of "per 100" or over 100.

Multiply 727731000 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.

7277310001×100100=72773100000100

72773100000/100 is 72773100000 over 100 and means 72773100000 per 100. 72773100000 "per 100" means 72773100000 "percent" or 72773100000%

Therefore, we have shown that

727731000 = 72773100000%

Simplified Conversion:

Multiply by 100 and add the percent sign %

727731000 × 100 becomes 72773100000%

Shortcut Conversion:

Move the decimal point 2 places to the right and add the percent sign %

727731000 becomes 72773100000%

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