Multiple choice

The sixth term of the sequence for which t1 = 2, t2 = 4 and tn + 2 = tn + tn + 1 is

  1. 5

  2. 15

  3. 26

  4. 28
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C Correct answer
Explanation

The sequence follows the rule t(n+2) = t(n) + t(n+1). Given t1=2, t2=4, then t3=6, t4=10, t5=16, and t6=26.

AI explanation

The sequence follows a recursive formula where each term is the sum of the two preceding terms. Given t1 = 2 and t2 = 4, we find the subsequent terms by adding the previous two: t3 = 2 + 4 = 6, t4 = 4 + 6 = 10, and t5 = 6 + 10 = 16. Continuing this pattern, the sixth term is t6 = 10 + 16, which equals 26.

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