Multiple choice

Find the $11$th term of the sequence $5,2,-1,-4,......$

  1. $-25$
  2. $-28$
  3. $-22$

  4. None
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A Correct answer
Explanation

This is an arithmetic progression with first term a = 5 and common difference d = 2 - 5 = -3. The nth term is given by a + (n - 1)d. For the 11th term, 5 + (11 - 1)(-3) = 5 + 10(-3) = 5 - 30 = -25.

AI explanation

The given sequence is an arithmetic progression with a first term of 5 and a common difference of -3. Using the arithmetic sequence formula for the nth term, a_n = a + (n-1)d, we substitute n = 11 to get 5 + (11-1)(-3). This simplifies to 5 - 30, which equals -25.

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