Multiple choice

Find the 10th term of the following AP series. 2, 7, 12 ...

  1. 45

  2. 46

  3. 47

  4. 49

  5. 50
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C Correct answer
Explanation

The AP is 2, 7, 12... where a=2 and d=5. The 10th term is a + (10-1)d = 2 + 9*5 = 2 + 45 = 47.

AI explanation

Using the arithmetic progression formula for the nth term, where the first term a is 2 and the common difference d is 5, calculate the value of the 10th term. Apply the formula Tn = a + (n - 1)d by substituting the values to get T10 = 2 + (10 - 1)5. Solving this gives 2 + 45, which equals 47.

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