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SashulF [63]
3 years ago
11

Sage correctly found the following quotient. 1 1/2 divided by 1/3= 4 1/2 . (a) Create a model to show the quotient. (b) Explain

what the half in the quotient refers to in your model
Mathematics
1 answer:
astraxan [27]3 years ago
7 0
(a) for this you need to draw an example. Like a pizza or pie being cut.

(b) show that half of the quotient refers to Sage dividing the pizza/pie
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Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5
zaharov [31]

Answer:

31

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}} or \displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}

Therefore, the solution is 31.

__________________________________________________________

Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as \displaystyle \large{a_{n-1} \cdot r = a_n} meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:

\displaystyle \large{r=\frac{a_{n+1}}{a_n}}

Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:

\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}\\\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}

Above should be applied for series that have common ratio not equal to 1.

\displaystyle \large{S_n=a_1 \cdot n}

Above should be applied for series that have common ratio exactly equal to 1.

__________________________________________________________

Topics

Sequence & Series — Geometric Series

__________________________________________________________

Others

Let me know if you have any doubts about my answer, explanation or this question through comment!

__________________________________________________________

7 0
2 years ago
Solve 7 8 and 9 please
VLD [36.1K]
7) y = 4x
8) y = 7x/8
9) y = 25x/3

I think this are the answers.
7 0
3 years ago
Read 2 more answers
Is 5/7 greater than 10/13
NeTakaya

Answer:

No is false

Step-by-step explanation:

5 / 7 > 10 / 13 = False

3 0
3 years ago
Is -5/11 equivalent to -5/-11 ? Why or why not?
faltersainse [42]
No, -(5/11) is equivalent to -5 all over 11 so -5/11. You cannot change the denominator
3 0
3 years ago
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Which term best describes the graph of y = -2X + 4
Alexxandr [17]

Answer:

Decreasing, negative slope

Step-by-step explanation:

Bc the slope is -2x in this equation therefore its a negative slope.

3 0
2 years ago
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