Ohio Assessments for Educators (OAE) Early Childhood Practice Exam

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If the pattern 1, 1, 2, 3, 4 is extended, which number would be in the 13th position?

  1. 4

  2. 1

  3. 2

  4. 3

The correct answer is: 2

To determine the 13th number in the sequence 1, 1, 2, 3, 4, it's essential to recognize the underlying pattern. The sequence begins with two 1s, followed by the next numbers being the sum of the two preceding numbers. After the initial 1s, we can see that: - The third number is 2 (1 + 1). - The fourth number is 3 (1 + 2). - The fifth number is 4 (2 + 2). Continuing the pattern, the next numbers are generated by adding the previous two numbers: - The sixth number is 4 + 3, which equals 7. - The seventh number is 7 + 4, resulting in 11. - The eighth number is 11 + 7, resulting in 18. - The ninth number is 18 + 11, which gives 29. - The tenth number is 29 + 18, resulting in 47. - The eleventh number is 47 + 29, yielding 76. - The twelfth number is 76 + 47, which results in 123. - The thirteenth number is 123 + 76