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Misha Larkins [42]
3 years ago
13

For an arithmetic sequence an = 7+3(n – 1), what is the 31st term?

Mathematics
1 answer:
slamgirl [31]3 years ago
5 0

Answer:

n= 1

Step-by-step explanation:

7+3(n-1)

10(n-1)

10n=10

n=10/10

n=1

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Step-by-step explanation:

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A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row. How many seats are
Anna35 [415]

Answer:

8428

Step-by-step explanation:

According to the Question,

  • Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.

We have a number sequence  13, 18, 23, ...

  • We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.
  • The formula for the sum of an arithmetic sequence with n terms is given is S_n= \frac{n}{2} [2a_1+(n-1)d]S .

Substitute the given values into the equation to solve for the sum of the 56 rows of seats.

S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428

Therefore, there are 8428 seats in all.

4 0
2 years ago
there are 40 black balls this is 4 more than twice the number of yellow balls how many yellow boll are there​
miss Akunina [59]

Answer:

There are 5 yellow balls

Step-by-step explanation:

40/4 = 10

10/2 = 5

8 0
2 years ago
Read 2 more answers
What percent of 29.5 is 10.03
Alexxandr [17]
So if we take 29.5 to be the 100%, what is 10.03 in percentage?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
29.5&100\\
10.03&p
\end{array}\implies \cfrac{29.5}{10.03}=\cfrac{100}{p}\implies p=\cfrac{10.03\cdot 100}{29.5}
7 0
2 years ago
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