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stich3 [128]
2 years ago
6

- 10

Mathematics
1 answer:
e-lub [12.9K]2 years ago
7 0

Answer:

  1. HDUEHD ehvd to be a great day of school and I have a great day of school and
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Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1
jek_recluse [69]

Answer:

S_{31}=71.3


Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

U_n=a_1+(n-1)d


We were given that the 9th term is 17.


\Rightarrow 17=a_1+(9-1)(-2.1)


\Rightarrow 17=a_1+(8)\times(-2.1)


\Rightarrow 17=a_1-\frac{84}{5}


\Rightarrow 17+\frac{84}{5}=a_1


\Rightarrow a_1=\frac{169}{5}


The sum of the first n-terms is given by the formula,


S_n=\frac{n}{2}(2a_1+(n-1)d)


To find S_{31}, we substitute n=31, a_1=\frac{169}{5} and d=-2.1.


\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))


\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))



\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})


\Rightarrow S_{31}=\frac{713}{10}


\Rightarrow S_{31}=71.3


The correct answer is D















8 0
3 years ago
Read 2 more answers
Please help with number 7! :D please and thank you!
schepotkina [342]

Answer:

fraction

Step-by-step explanation:

any number between 0 and 1 is a fraction

3 0
3 years ago
Y=-155. Put in a table of 3 rows.
Alja [10]

Answer:

51.6666666667

Step-by-step explanation:

4 0
3 years ago
Spencer made a quilt for his cousin's doll. The quilt had a 7x7 array of different color square patches. If each patch is 1 3/4
Damm [24]

Answer:

\frac{2401}{16} square inches

Step-by-step explanation:

Given:

The quilt made by Spencer had a 7×7 array of different color square patches such that each patch is 1\frac{3}{4} in long.

To find: the area of the whole quilt

Solution:

Side of each quilt = 7(\frac{3}{4})=7(\frac{7}{4})=\frac{49}{4}

Quilt is in the form of a square such that area of square is given by (side)^2

Therefore, area of quilt = (side)^2=(\frac{49}{4})^2 =\frac{2401}{16}  square inches

3 0
3 years ago
What is the answer to 2937682+28373938
xxMikexx [17]

Answer: 31311620

Step-by-step explanation: Calculator

5 0
2 years ago
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