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Gnesinka [82]
3 years ago
9

Find an explicit formula for the geometric sequence −1,−7,−49,−343,...-1\,,-7\,,-49\,,-343,... −1,−7,−49,−343

Mathematics
1 answer:
umka21 [38]3 years ago
7 0
So we see it times 7 each time
starting with -1

geometric
an=a1(r)^(n-1)
a1=first term
r=common ratio
first term is -1
r=7

a_n=-1(7)^{n-1} is the formula
also can look like this:
f(n)=-1(7)^{n-1}
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What is the value of the expression p – 26 when p = 12?
serious [3.7K]
The answer is -14 cuz if u subtract 16 from 26 it will have nothing cuz there I s not enough so it will go to a negative 14 in order to subtract it all the way

HOPE U UNDERSTOOD:))  >_<

7 0
3 years ago
Three times the sum of a number and five is thrity-six? What is the number
andrew11 [14]
The number is 12.

7 + 5 = 12

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Hope I helped!
5 0
3 years ago
There are nine men and ten women in a club; in how many ways can a committee of four be formed?
DochEvi [55]
There are 19 people total, and groups of four are being asked of us. We can use the formula for permutations or combinations.

Permutations: \frac{n!}{(n-r)!}
Combinations: \frac{n!}{r!(n-r)!}
Where in both scenarios, there are <em>n</em> objects being chosen at <em>r</em> times.

19 P 4 is 93024
19 C 4 is 3876
It all depends on whether order matters with group placement; if it does, your answer is 93024, if not, then your answer is 3876.

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8 0
3 years ago
What fraction must be subtracted from the sum of 1/4 and 1/6 to have an average of 1/12 of all the two fractions
DanielleElmas [232]

Answer:

so 1/3 must be subtracted from the sum of 1/4 and 1/6 to have an average of 1/12 of all the two fractions.

Step-by-step explanation:

let the fraction be x

(1/4 + 1/6)-x =  1/12

or, 10/24 - x = 1/12

or, 5/12-1/12 = x

so, x = 4/12 = 1/3

8 0
3 years ago
A concert hall has 12 seats in the first row, 14 seats in the second row, 16 seats in the third row, and so on. If the pattern c
Marrrta [24]

Given:

The number of seats in the first row is <em>a</em>₁ = 12.

The series of the increasing number of seats is 12, 14, 16......

The objective is to find the total number of seats in the first 12 rows.

Explanation:

The difference between the number of seats in each row can be calculated by the difference between the successive terms of the series.

\begin{gathered} d=14-12=2 \\ d=16-14=2 \end{gathered}

The number of rows to be calculated is <em>n</em> = 12.

To find the number of seats:

The number of seats presents in the first 12 rows can be calculated as,

S_n=\frac{n}{2}\lbrack2a_1+(n-1)d\rbrack

On plugging the obtained values in the above equation,

\begin{gathered} S_{12}=\frac{12}{2}\lbrack2(12)+(12-1)2\rbrack \\ =6\lbrack24+11(2)\rbrack \\ =6(46) \\ =276 \end{gathered}

Hence, the total number of seats in the first 12 rows is 276.

8 0
1 year ago
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