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Olegator [25]
2 years ago
13

Find an explicit formula for the arithmetic sequence 170,85,0,-85..., d(n)=

Mathematics
1 answer:
irinina [24]2 years ago
8 0

Answer:

d(n) = 85 * ( 3 - n )

Step-by-step explanation:

Let's find the common difference of the terms (if any).

The common difference is = 85 - 170 = 0 - 85 = -85 - 0 = -85

For an arithmatic sequence with first term a, common difference d,

  nth term = a + ( n - 1 ) * d

So, d(n) = 170 + ( n - 1 ) * (-85)

             = 255 - 85n

             = 85 ( 3 - n )

[ If there's any mistake, please inform me ]

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Divide. Write in simplest form. 10 divided by 1 2/3 ?
adell [148]

Answer: 6

Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.

Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.

So we have 10/1 ÷ 5/3 or 10/1 × 3/5.

It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.

Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.

Therefore, 10 ÷ 1 and 2/3 = 6.

8 0
2 years ago
What is the value of the value below. <br> 4/5+3/5+3.5*5
inn [45]

Answer:

18.9

Step-by-step explanation:

7 0
3 years ago
13299220232+1329220232​
denpristay [2]

Answer:

14,628,440,464

Step-by-step explanation:

Perform simple addition.

Glad I was able to help!!

6 0
2 years ago
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Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only) A right triangl
romanna [79]

Answer:

The angle is 52 degree.

Step-by-step explanation:

length of of side, L = 8

Hypotenuse, H = 13

According to the trigonometry,

cos y = \frac{L}{H}\\\\cos y = \frac{8}{13}\\\\cos y = 0.62\\\\y = 52^0

7 0
3 years ago
Bro i need this <br><br> (x − 5)^2 = x^2 − 25
forsale [732]

Answer:

x=5

Step-by-step explanation:

x^2+25-10x = x^2-25

-x^2               -x^2

25-10x = -25

-25        -25

-10x = -50

x=5

lets check

(5-5)^2 = 5^2-25

0^2 = 25-25

0 = 0

7 0
2 years ago
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