Multiple choice

Find the nth term of the given sequence. 0, 13, 26, 39, ...

  1. 17n - 14

  2. 16n - 15

  3. 14n - 13

  4. 13n - 13
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D Correct answer
Explanation

The sequence 0, 13, 26, 39 is an arithmetic progression with a first term a = 0 and a common difference d = 13. The formula for the n-th term is a + (n - 1)d, which simplifies to 0 + (n - 1)13 = 13n - 13.

AI explanation

The given sequence is an arithmetic progression with a common difference of 13. The formula for the nth term of an arithmetic progression is a plus (n minus 1) multiplied by d, where a is 0 and d is 13. Applying the formula gives 0 plus (n minus 1) multiplied by 13, which simplifies to 13n minus 13.

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