6
QuizMultiple Choice

Patterns

Question 6 • EF Math 12 1st Nine Weeks

List the next three terms in the following sequence:1, 2, 4, 7, 11, 16,...Also list the number that would be the twentieth number in the sequence.

Answer
A
23, 31, 40; 200
B
23, 31, 40; 191
C
22, 28, 35; 185
D
22, 29, 37; 191

Explanation

The differences between consecutive terms are 1, 2, 3, 4, and 5, so continue by adding 6, 7, and 8. This gives the next three terms 22, 29, and 37. The 20th term is 1 plus the sum of the first 19 positive integers: 1 + (19 × 20 ÷ 2) = 191. Choice D lists these terms and the 20th term.

AI-written and checked against the verified answer.

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