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frez [133]
3 years ago
5

Given a sequence is defined by the explicit definition t_n= n^2+nt n = n 2 + n, find the 4th term of the sequence. (i.e. t_4t 4)

Mathematics
2 answers:
Ne4ueva [31]3 years ago
7 0

<em>*100% CORRECT ANSWERS</em>

kykrilka [37]3 years ago
5 0

Answer:

Question 1:  20

Question 2: 27

Step-by-step explanation:

Question 1:  

Given a sequence is defined by the explicit definition t_{n} = n^{2} + n

Therefore, the 4th term i.e. t_{4} = 4^{2} + 4 = 20 (Answer)

So, the third option is correct.

Question 2:  

Given a sequence is defined by the explicit definition t_{n} = 2^{n} - n

Therefore, the 5th term i.e. t_{5} = 2^{5} - 5 = 27 (Answer)

So, the third option is correct.

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Please pick one of the options.
olchik [2.2K]

9880 different possibilities are there in Sally's new combination option second 9880 is correct.

<h3>What is permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Total unique numbers consists in a Sally locker = 3

From the digits 0 to 39

Total numbers = 40

Apply combination formula:

= C(40, 3)

= 40!/(3!37!)

= 9880

Thus, 9880 different possibilities are there in Sally's new combination option second 9880 is correct.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ1

6 0
1 year ago
a 5 sided solid has the numbers 1,2,3,4, and 5. what is the probability of rolling two five-sided solids and getting a sum of ei
kipiarov [429]
So this is going to be alot of writing to show my thinking but ill bold the answer.

1,1
1,2
1,3
1,4
1,5

2,1
2,2
2,3
2,4
2,5

3,1
3,2
3,3
3,4
3,5

4,1
4,2
4,3
4,4
4,5

5,1
5,2
5,3
5,4
5,5

next ill mark all the ones that equal 4 or 8 when added together, with an x

1,1
1,2
x1,3
1,4
1,5

2,1
x2,2
2,3
2,4
2,5

x3,1
3,2
3,3
3,4
x3,5

4,1
4,2
4,3
x4,4
4,5

5,1
5,2
x5,3
5,4
5,5

that is 6 (that equal 4 or 8) out of 25

so your ratio would be 6:19
6 0
3 years ago
Rosemary walks each week for exercise. Let d represent the distance walked and h represent the number of hours spent walking.
nadya68 [22]
Ok last week she walked 18/6 which equals 3 and 3 is less than 2.5. 2.5h is really just that times how many hours.D is the amount of miles.So,the awnser is going to  be b or d.But we dont know what d is in d=2,5h so we have to asume that b is the awnser
8 0
3 years ago
Read 2 more answers
How can recycling materials lead to environmental sustainability?
ASHA 777 [7]

Answer:

Recycling materials helps decrease the amount of new materials taken from the environment.

Step-by-step explanation:

Recycling materials helps decrease the amount of new materials taken from the environment.

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3 0
2 years ago
2y =17383 what is 2y please answer
aleksandrvk [35]
2y is 2y, so it is equal to 17383.
IF you were looking for just y, than the answer is 17383/2 = y = 8691.5
3 0
2 years ago
Read 2 more answers
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