Multiple choice

Find the nth term of the sequence 4, 7, 10, 13, ....

  1. 3n

  2. 3n - 1

  3. 3n + 1

  4. 3n + n
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C Correct answer
Explanation

This is an arithmetic sequence with first term a = 4 and common difference d = 3. The nth term is a + (n-1)d = 4 + (n-1)3 = 4 + 3n - 3 = 3n + 1.

AI explanation

This sequence is an arithmetic progression with a common difference of 3 and a first term of 4. The formula for the nth term of an arithmetic progression is a + (n - 1)d. Substituting the values gives 4 + (n - 1)3, which simplifies to 4 + 3n - 3 and further simplifies to 3n + 1. The nth term of the sequence is 3n + 1.

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