Multiple choice

If the nth term in a sequence of numbers a0 , a1 , a2 , …, an is defined to equal 2n + 1, then what is the numerical difference between the 5th and 6th terms in the sequence?

  1. 1

  2. 2

  3. 4

  4. 5

  5. 6
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B Correct answer
Explanation

The nth term is 2n + 1. The 5th term (n=5) is 2(5) + 1 = 11. The 6th term (n=6) is 2(6) + 1 = 13. The difference is 13 - 11 = 2.

AI explanation

Substitute n = 5 into the formula to get 2(5) + 1 = 11, and substitute n = 6 to get 2(6) + 1 = 13. The difference between these two terms is 13 - 11 = 2.

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