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Is 299 in the sequence of 2 5 8 11 14 with 3n-1 as the term

2 Answers

6 votes

Final answer:

The number 299 is not in the given sequence.

Step-by-step explanation:

To determine if 299 is in the sequence 2, 5, 8, 11, 14 with the term formula 3n-1, we can plug in values of n into the formula and see if any of them result in 299. Start with n=1, we get 3(1)-1=2. For n=2, we get 3(2)-1=5. For n=3, we get 3(3)-1=8. For n=4, we get 3(4)-1=11. For n=5, we get 3(5)-1=14. Based on these calculations, we can see that 299 is not in the given sequence.

User Vinod Pattanshetti
by
7.8k points
8 votes

Answer:

yes

Step-by-step explanation:

Equate

3n - 1 = 299 ( add 1 to both sides )

3n = 300 ( divide both sides by 3 )

n = 100

Then 299 is the 100 th term of the sequence

User Joseph Kingry
by
7.7k points

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