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ioda
3 years ago
11

The explicit rule for an arithmetic sequence is an=20/3+1/3(n-1). What is the value of the 89th term?

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

\bf a_n=\cfrac{20}{3}+\cfrac{1}{3}(n-1) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{89^{th}~term~\hfill }{a_{89}=\cfrac{20}{3}+\cfrac{1}{3}(89-1)}\implies a_{89}=\cfrac{20}{3}+\cfrac{1}{3}(88)\implies a_{89}=\cfrac{20}{3}+\cfrac{88}{3} \\\\\\ a_{89}=\cfrac{20+88}{3}\implies a_{89}=\cfrac{108}{3}\implies a_{89}=36

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What is the mathmatical definition of decomposing
jarptica [38.1K]
It's when we break a number apart. Like as if we take 3,864. And we take each number and put it in a area of the number.

3=Thousands.
8=Hundreds.
6=Tens.
4=Ones.

Fairly simple and easy.
4 0
3 years ago
Read 2 more answers
8 A video game that usually costs $50 is on sale for $32.50
finlep [7]

The video game is on 35% discount.

Step-by-step explanation:

Cost of video game = $50

Price on sale = $32.50

Amount of discount = Original price - price on sale

Amount\ on\ discount = 50-32.50\\Amount\ on\ discount= \$17.5

Percentage = \frac{Dicount\ Price}{Original\ Price}*100

Percentage=\frac{17.5}{50}*100\\Percentage=\frac{1750}{50}\\Percenatge=35\%

The video game is on 35% discount.

Keywords: Percentage

Learn more about percentages at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

6 0
3 years ago
Find the surface area of the following triangular prism. surface area=_________ ft²
Scorpion4ik [409]
  • Answer:

<em>312 ft²</em>

  • Step-by-step explanation:

<em>3 rectangles </em>

<em>2 triangles</em>

<em>4 yd = 12 ft</em>

<em>A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2</em>

<em>= 48ft² + 96ft² + 120ft² + 48ft²</em>

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3 0
3 years ago
Can someone help me please?
morpeh [17]
Heya bro!!

------------------------------------

If uh r asking about scientific notification then x must be in lowest form but decimal point is after 1.

So correct answer is 1.04 * 10^2 .

If uh wanna check multiply it.. Uh will get 104.

Hope it helps uh!
5 0
3 years ago
Three of these fractions are equivalent: B. 12 C . 21 D. 74 30 A. . 70 Which one is the odd one out?
IrinaVladis [17]

Answer:

12/30

Step-by-step explanation:

Here is the complete question

Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out

to determine the equivalent fractions, convert the fractions to percentage

\frac{30}{70} × 100 = 42.86%

\frac{12}{30} × 100 = 40%

\frac{9}{21} × 100 = 42.86%

\frac{6}{14} x 100 = 42.86%

Another method is to convert the fraction to its simplest form

30/70

To transform to the simplest form. divide both the numerator and the denominator by 10 = 3/7

12/30

To transform to the simplest form. divide both the numerator and the denominator by 6 = 2/5

9/21

To transform to the simplest form. divide both the numerator and the denominator by 3 = 3/7

6/14

To transform to the simplest form. divide both the numerator and the denominator by 2 = 3/7

Using either methods, 12/30 is the odd one out  

4 0
2 years ago
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