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Summation Notation

Question 1 • AZ-Common Core Algebra II B

Check all that apply in regards to the given sequence:5, 8, 11, 14, 17, 20, 23, …

Answer
A
The sequence is arithmetic.
B
The sequence is geometric.
C
The common difference is 3.
D
The common ratio is 3.
E
a1 = 5
F
a8 = 26

Explanation

Each term increases by 3: 8 − 5 = 3, 11 − 8 = 3, and so on. A sequence with a constant difference is arithmetic, so the sequence is arithmetic and its common difference is 3; it is not geometric because the ratios between consecutive terms are not constant. The first term is a₁ = 5, and a₈ = 5 + 7(3) = 26.

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