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lapo4ka [179]
2 years ago
12

Unit 3 - Task 3 - (10 points)

Mathematics
1 answer:
Nuetrik [128]2 years ago
5 0

The 50th term in the sequence is 199

Arithmetic sequence

The nth term of an arithmetic sequence is expressed as:

Tn = a+ (n - 1)d

where:

  • a is the first term
  • n is the number of terms
  • d is the common difference

The sequence formed by the amount of Whatchamacallits produced as;

3, 7, 11, 15...

a = 3

d = 11-7 = 7-3 = 4

Substitute

Tn = 3 + (n-1) * 4
Tn = 3 + 4n -4

Tn = 4n - 1

Hence the explicit formula that models the production for the nth term of the sequence is Tn = 4n - 1

If n = 50

T50 = 4(50) - 1

T50 = 199

Hence the 50th term in the sequence is 199

Learn more on sequence here; brainly.com/question/6561461

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2/3 of a pizza is more than half of the pizza.


3/6 = 1/2, so 3/6 of a pizza is exactly half of the pizza.


Given that two pizzas are of different sizes you need to calculate the areas of each pizza and compare them.


Assumming that the two pizzas are circular, you can calculate the area of each pizza from the formula of the area for a circle:


Area of a circle = π * (radius)^2.



Call r the radius of Jake's pizza and R the radius of Al's pizza. Then:


Area of Jake's pizza = π (r^2) and 2/3 of that is: 2π(r^2) / 3.


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