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Reika [66]
3 years ago
12

Sequences:

Mathematics
1 answer:
joja [24]3 years ago
4 0

Answer:

<u>The sequence is</u>

  • 1, 1 + 2, 1 + 2 + 3, 1  + 2 + 3 + 4, ...

Each term is the sum of the consecutive numbers from 1 to that number.

<u>The nth term is the sum of the first n numbers:</u>

  • aₙ = 1 + 2 + 3 + ... + n
  • aₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)
  • aₙ = n(n + 1)/2

1) The number of circles in the nth pile is n(n + 1)/2

2) When n tends to infinity the number of circles tends to infinity

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Can someone please help me with this problem? A fastpitch softball player signs a six year contract. Her agent expects that she
Luba_88 [7]

Answer:

The question is not complete, below is the complete question:

A fastpitch softball player signs a six-year contract. Her agent expects that she will earn $1,000,000 over the next six years. If the agent is right, how many bonus payments, on average, should the pitcher expect each year? Explain

Yearly Salary: $20.000. Bonus for each game that attracts 100+ fans: $8.000.

Answer:

on average, the pitcher expects to earn 18.3 bonuses per year

Step-by-step explanation:

Total amount earned over the next 6 years = $1,000,000

salary per year = $20,000

salary for the next 6 years = 20,000 × 6 = $120,000

Next, let us calculate the amount earned from bonuses:

Total amount earned = amount earned from salaries + amount earned from bonuses

$1,000,000 = 120,000 + Amount earned from bonuses

Amount earned from bonuses = 1,000,000 - 120,000

Amount earned from bonuses = $880,000

Total bonus amount earned over six years = $880,000

Amount of bonus earned per game = $8,000

Number of bonuses received over the next 6 years = (Total bonus earned over six years) ÷ (Amount of bonus earned per game)

Number of bonus received over the next 6 years = 880,000 ÷ 8,000

Number of bonus received over the next 6 years = 110 bonuses

6 years = 110 bonuses

1 year = 110 ÷ 6 = 18.33 bonuses

on average, the pitcher expects to earn 18.3 bonuses per year

5 0
3 years ago
Given the binomials (x - 3), (x - 1), (x + 2), and (x + 3), which one is a factor of f(x) = 2x3 + 3x2 - 2x - 3?
spayn [35]

Answer:

(x-1) is factor of our function.

Step-by-step explanation:

We are given a function f(x)=2x^{3} +3x^{2} -2x-3 and we are asked to find the correct factor from the given options.

Let us factor out our polynomial.

2x^{3} +3x^{2} -2x-3

x^{2} (2x+3)-1(2x+3)

(x^{2} -1)(2x+3)

(x+1)(x-1)(2x+3)

Therefore, (x-1) is correct choice for factor of our polynomial.



3 0
3 years ago
Read 2 more answers
Calculate the distance between points (0,0) and (4, 6) on the coordinate plane.​
abruzzese [7]
4 up and 6 right


i hope this helped
5 0
3 years ago
PLZZ HELP, I WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST
Mrac [35]
1,3,4 just match the markings.
3 0
3 years ago
Read 2 more answers
on the freeway, it is unsafe to drive too slowly or too quickly. the safest driving speeds on the freeway near allan’s town were
olganol [36]
|x – 55| = 4.2

where x is the speed.

-4.2 < x - 55 < 4.2

-4.5 + 55 < x < 55 -4.2

50.8 < x < 59.2

The upper boundary for x is 59.2 

The speed must be in the range  55 - 4.2 to 55 + 4.2.

5 0
3 years ago
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