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Alex777 [14]
3 years ago
13

An arithmetic sequence has first term 25 and common difference 3. Find the 50th

Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0

Answer:

172

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 25 and d = 3, thus

a_{50} = 25 + (49 × 3) = 25 + 147 = 172

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Which numbers are rational numbers that are not integers?<br><br> 0,4,-2,2/3,-1.8,16,3.2,-5/4
Anna [14]

Answer:

-1.8, -5/4, 3.2, 2/3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 d
azamat

Answer:

<h2>32/1125</h2>

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome.

If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.

If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;

Probability of selecting 2 comedies  = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).

Probability of selecting 1 action movie = 6/15 = 2/5

<em>Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125</em>

<em>Note that the rented movies will have to be returned hence reason for the replacement. </em>

8 0
3 years ago
What is the answer to x/-3 + 5 = 12
Mariana [72]

Answer:

24

Step-by-step explanation:

6 0
3 years ago
Find the measure of unlabeled angle in the quadrilateral
Tpy6a [65]

Answer:

x=140

Step-by-step explanation:

A quadralterial interior angles sum up to 360. We are given three angles and need to find the missing angle.

Let x, represent the missing angle.

60 + 55 + 105 + x = 360

220 + x = 360

x = 140

4 0
3 years ago
The first two numbers in a sequence h are h(1) = 2 and h(2) = 6.
Ghella [55]

Answer:

Step-by-step explanation:

Given the first two numbers of a sequence as 2, 6...

If it is an arithmetic difference, the common difference will be d = 6-2 = 4

Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d

a is the first term = 2

d is the common difference = 4

n is the number if terms

Substituting the given values in the formula.

Nth term Tn = 2+(n-1)4

Tn = 2+4n-4

Tn = 4n-4+2

Tn = 4n-2

2) If the sequence us a geometric sequence

Nth term of the sequence Tn = ar^(n-1)

r is the common ratio

r is gotten by the ratio of the terms I.e

r = T2/T1

r = 6/2

r = 3

Since a = 2

Tn = 2(3)^(n-1)

Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)

3 0
3 years ago
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