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Vika [28.1K]
3 years ago
8

Find the sum of the first 20 terms of the arithmetic series 0.5 + 1.1

Mathematics
2 answers:
exis [7]3 years ago
8 0

Answer:

0.5+1.1+1.7+2.3+2.9+3.5+4.1+4.7+5.3+5.9+6.5+7.1+7.7+8.3+8.9+9.5+10.1+10.7+11.3+11.9

Step-by-step explanation:

tell me if this isn't 20 terms

trapecia [35]3 years ago
7 0

Answer:

S_{20} = 124

Step-by-step explanation:

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 0.5 and d = a₂ - a₁ = 1.1 - 0.5 = 0.6 , then

S_{20} = \frac{20}{2} [ (2 × 0.5) + (19 × 0.6) ]

     = 10 (1 + 11.4 )

     = 10 × 12.4

     = 124

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Answer:

18

Step-by-step explanation:

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3 years ago
Tom had 7/8 cup of olive oil. He used 1/2 cup to make salad dressing and 1/4 cup to make tomato sauce. How much olive oil does T
Karo-lina-s [1.5K]
7/8 - 1/2 - 1/4

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6 0
3 years ago
(3a +7)² – 5a(a-4) ..... Help​
sattari [20]

Answer:

4a²+62a+49

Step-by-step explanation:

since (a+b)^2= a^2+2ab+b^2

(3a +7)² – 5a(a-4)

simplify the equation first

9a²+42a+49-5a²+20a

= 4a²+62a+49

5 0
3 years ago
Una tirolina de 26 m de largo está atada entre dos postes que están separados por 24 m. Si Manuela monta la tirolina desde el pr
maks197457 [2]

Answer:

The difference between the heights of the poles is 10m

Step-by-step explanation:

The distance between poles is 24 m

The length of the cable is 26m

You first use the Pythagoras' theorem to calculate the vertical distance between the end of one pole and the end of the other one.

c_2=\sqrt{h^2-c_1^2}\\\\c_2=\sqrt{(26m)^2-(24m)^2}=\sqrt{100}m=10m

The difference between the heights of the poles is 10m

The higher pole has height of 50m

Then, the lower pole has a height of 50m - 10m = 40m

4 0
3 years ago
Which graph shows the solution set of the compound inequality or 1.5x-1 > 6.5 or 7x+3 < -25 ?
Dmitry [639]
1.
<span>1.5x-1 > 6.5 
1.5x>1+6.5
</span>1.5x>7.5, divide by 1.5

x>5, is represented by the region to the right of the vertical line x=5 

2. 

<span>7x+3 < -25
7x<-25-3
7x<-28, divide by 4:

x<-4

</span>x<-4, is represented by the region to the left of the vertical line x=-4

Answer: check the picture

6 0
3 years ago
Read 2 more answers
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