Describe the following sequences and find the next three terms.

Sarai Davenport

Sarai Davenport

Answered question

2022-06-13

Describe the following sequences and find the next three terms. 1
1) 1, 4, 9, 16, 25, …
2) -5, -3, -1, 1, 3, 5, …
3) 1, 3, 6, 10, 15, …

Answer & Explanation

Arcatuert3u

Arcatuert3u

Beginner2022-06-14Added 30 answers

1) 1 , 4 , 9 , 16 , 25 ,
This is a square number pattern
Thus, the n-th term = n 2
We have: 1 2 , 2 2 , 3 2 , 4 2 , 5 2
Hence, the next three terms are: 6 2 , 7 2 , 8 2

2) 5 , 3 , 1 , 1 , 3 , 5 ,
This is an arithmetic sequence
First term is a = 5
Common difference is d = 2
Thus, the next three terms are: 5 + 2 = 7 , 7 + 2 = 9 , 9 + 2 = 11
juanberrio8a

juanberrio8a

Beginner2022-06-15Added 7 answers

(3) Given: 1 , 3 , 6 , 10 , 15 ,

a 1 = 1
a 2 = 1 + 2 = 3
a 3 = 3 + 3 = 6
a 4 = 6 + 4 = 10
a 5 = 10 + 5 = 15

Next three terms:
a 6 = 15 + 6 = 21
a 7 = 21 + 7 = 28
a 8 = 28 + 8 = 36

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