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Arithmetic Progressions · Class 10 · CBSE Mathematics

What is the 11th term of the AP: -3, -1/2, 2, dots?

Practice question from Arithmetic Progressions (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-4AEABE

What is the 11th term of the AP: −3,−1/2,2,…-3, -1/2, 2, \dots?

  1. A.28Correct answer
  2. B.22
  3. C.-38
  4. D.49/249/2

Solution

Here, the first term a=−3a = -3 and the common difference d=−1/2−(−3)=−1/2+3=5/2d = -1/2 - (-3) = -1/2 + 3 = 5/2. The nn-th term of an AP is given by an=a+(n−1)da_n = a + (n-1)d. Substituting n=11n = 11, we get a11=−3+(11−1)(5/2)=−3+10×(5/2)=−3+25=28a_{11} = -3 + (11-1)(5/2) = -3 + 10 \times (5/2) = -3 + 25 = 28. Thus, the correct option is A.

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