Identify if the sequence is arithmetic, geometric or quadratic. Assuming the r-st item of each se

Gybrisysmemiau7

Gybrisysmemiau7

Answered question

2022-06-30

Identify if the sequence is arithmetic, geometric or quadratic.
Assuming the r-st item of each sequence is a 1 , give an expression for a i .
If the sequence is arithmetic or geometric, compute the sum of the first 10 terms in the sequence
1 ; 4 ; 13 ; 28 ; 49 ; . . .

Answer & Explanation

Lamont Adkins

Lamont Adkins

Beginner2022-07-01Added 11 answers

a 1 = 1 + 3 = 4
a 2 = 4 + 9 = 13
a 3 = 13 + 15 = 28
a 4 = 28 + 21 = 49
(first difference)

Second difference is 6

Thus, this is a quadratic sequence. (a sequence in which the second difference between each consecutive term differ by the same amount)

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