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Levart [38]
3 years ago
13

Consider a sequence whose first three

Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0

Answer:

Below, depends if 27 is term number 1 or term number 0.  Answered for both cases.  

Step-by-step explanation:

The most common sequences are arithmetic and geometric, so lets check those first.

Arithmetic first since its the easiest.

to go from 27 to 21 we subtract 6, if we subtract 6 from 21 again we get to 15, which is what we need, so it is indeed arithmetic.

Explicit formula is basically of the form of y=mx+b with an arithmetic sequence.  the m is the common difference and b is the first term minus the common difference.  so lets fill those in.  y = -6x + 33

Then it usually has n as the x and y f(n) so we'll just put those in

f(n) = -6n + 33

This si as long as the first term is labeled as term number 1 and not term number 0.  if you have 27 as term 0 instead just make 33 back to 27, so f(n) = -6n + 27

Let me know if this doesn't make sense.

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Fairfield Elementary has 14 sets of building blocks. There are 125 blocks in each set. How many blocks are there altogether?
yan [13]

Answer:

1,750 building blocks.

Step-by-step explanation:

In order to find the solution to this question, you must use multiplication.

If there are 14 sets of building blocks with 125 blocks each, in order to find the total amount of blocks we multiply 14 by 125.

You should get 1,750 as your final answer.

6 0
2 years ago
Use​ Gauss's approach to find the following sums​ (do not use​ formulas). 1+3+5+7+...999
muminat
S=1+3+5+\cdots+995+997+999
S=999+997+995+\cdots+5+3+1
\implies 2S=(1+999)+(3+997)+(5+995)+\cdots+(995+5)+(997+3)+(999+1)

2S=\underbrace{1000+1000+\cdots+1000+1000}_{500\text{ times}}

(We are adding 500 instances of 1000 because that's how many odd numbers there are between 1 and 1000, inclusive.)

2S=500\times1000=500000
\implies S=250000
4 0
3 years ago
Please help me asap!
Mazyrski [523]

Answer:

x value is 10 as per as the question its value is 10

3 0
3 years ago
Solve the system:<br> x + 5y = -15<br> -2x -10y = 30*
Ksju [112]

Answer:

x= -5/3 y-5

Step-by-step explanation:

6 0
3 years ago
Which expression is equal to zero? 9 + (– 27) ÷ (– 3)
GrogVix [38]

Answer:

-27÷(-3)-9

=0

Step-by-step explanation:

Hope this helps you.

4 0
3 years ago
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