Multiple choice

In the series $20, 18, 16,......... , -2$ is the term

  1. $10^{th}$
  2. $11^{th}$
  3. $12^{th}$
  4. $13^{th}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

This is an arithmetic progression with a = 20 and d = -2. The n-th term is a + (n-1)d. -2 = 20 + (n-1)(-2) => -22 = (n-1)(-2) => 11 = n-1 => n = 12.

AI explanation

The series is an arithmetic progression with the first term a equal to 20 and a common difference d equal to 18 minus 20, which is -2. Using the nth term formula, T_n = a + (n-1)d, we substitute the values to get -2 = 20 + (n-1)(-2). Solving for n, we get -22 = -2n + 2, which simplifies to 2n = 24 and n = 12. Thus, -2 is the 12th term of the series.

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