Multiple choice

What is the 9th term of the sequence -4, -8, -12,...?

  1. -36

  2. -37

  3. -38

  4. -39

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A Correct answer
Explanation

This is an arithmetic sequence with a first term a = -4 and a common difference d = -4. The formula for the n-th term is a + (n - 1)d. For the 9th term, this is -4 + (9 - 1)(-4) = -4 + 8(-4) = -4 - 32 = -36.

AI explanation

This sequence follows an arithmetic progression where the first term a is -4 and the common difference d is -4. The nth term formula for an arithmetic progression is a + (n - 1)d. Substituting the values gives the 9th term as -4 + (9 - 1)(-4), which equals -4 - 32, so the result is -36.