Multiple choice

In an arithmatic sequence, the first term is 1 whereas the 4th term is 10. What is the 10th term of the sequence?

  1. 28

  2. 32

  3. 35

  4. 46

  5. 58
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A Correct answer
Explanation

Arithmetic sequence: a = 1, a4 = a + 3d = 10. 1 + 3d = 10, so 3d = 9, d = 3. The 10th term a10 = a + 9d = 1 + 9(3) = 1 + 27 = 28.

AI explanation

The nth term of an arithmetic sequence is found using the formula a plus (n minus 1) times d, where a is the first term and d is the common difference. Given the first term is 1 and the fourth term is 10, we set up the equation 10 equals 1 plus 3d. Solving this gives the common difference d as 3. Using the formula for the 10th term, we calculate 1 plus (10 minus 1) multiplied by 3, which equals 1 plus 27, resulting in 28.

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