Multiple choice

In an arithmetic sequence $1, -2, -5, -8 $ ....., then find the $12^{th}$ term.

  1. $-30$
  2. $-32$
  3. $33$
  4. $34$
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B Correct answer
Explanation

This is an arithmetic sequence with first term a = 1 and common difference d = -3. The n-th term is given by a + (n-1)d; for n = 12, the term is 1 + (11 * -3) = 1 - 33 = -32.

AI explanation

The sequence is an arithmetic progression with the first term a = 1 and a common difference d = -3. Using the nth term formula for an arithmetic progression, a_n = a + (n - 1)d, we find the 12th term by substituting n = 12. This gives a_12 = 1 + (12 - 1)(-3) = 1 - 33 = -32.

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