Multiple choice

Find the pattern in the series and answer the question below. Series: q, q + 3, 2q + 3, 2q + 6, 3q + 6, 3q + 9 Note: q is the largest negative integer. Find the sixth term of the series.

  1. 14

  2. 6

  3. 12

  4. 8

  5. 18
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B Correct answer
Explanation

The series is q, q+3, 2q+3, 2q+6, 3q+6, 3q+9. The pattern for the n-th term is: if n is odd, (n+1)/2 * q + (n-1)/2 * 3; if n is even, n/2 * q + n/2 * 3. For n=6, term = 3q + 9. Since q is the largest negative integer, q = -1. Term = 3(-1) + 9 = 6.

AI explanation

Given that q is the largest negative integer, we establish that the value of q is -1. Substituting this value into the expression provided for the sixth term, which is 3q + 9, we get 3(-1) + 9. This simplifies to -3 + 9, resulting in 6.

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