List the first 10 terms of these sequences: 1) The sequence

tr2os8x

tr2os8x

Answered question

2022-06-24

List the first 10 terms of these sequences:
1) The sequence obtained by starting with 10 and obtaining each term by subtracting 3 from the previous term
2) The sequence whose n-th term is the sum of the first n positive integers

Answer & Explanation

Bornejecbo

Bornejecbo

Beginner2022-06-25Added 19 answers

I made only the first one.
1) As we know that a 1 = 10
a 2 = 10 3 = 7
a 3 = 7 3 = 4
a 4 = 4 3 = 1
a 5 = 1 3 = 2
a 6 = 2 3 = 5
a 7 = 5 3 = 8
a 8 = 8 3 = 11
a 9 = 11 3 = 14
a 10 = 14 3 = 17
a n + 1 = a n 3 as a 1 = 10 , n 1
Brenden Tran

Brenden Tran

Beginner2022-06-26Added 9 answers

(2) As a n = 1 + 2 + 3 + + n
a 1 = 1
a 2 = 1 + 2 = 3
a 3 = 1 + 2 + 3 = 6
a 4 = 1 + 2 + 3 + 4 = 10
a 5 = 1 + 2 + 3 + 4 + 5 = 15
a 6 = 1 + 2 + 3 + 4 + 5 + 6 = 21
a 7 = 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28
a 8 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36
a 9 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45
a 10 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

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