Multiple choice

Find the 11th term of the given series. 2, 6, 10, 14, ...

  1. 33

  2. 35

  3. 36

  4. 42
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D Correct answer
Explanation

This is an arithmetic progression with first term a = 2 and common difference d = 4. The n-th term is a + (n-1)d. For the 11th term: 2 + (11-1) * 4 = 2 + 40 = 42.

AI explanation

The given sequence increases by a constant value of 4, classifying it as an arithmetic progression with the first term a = 2 and common difference d = 4. Using the formula for the nth term of an arithmetic progression, a + (n - 1)d, we substitute the known values to find the 11th term: 2 + (11 - 1)4. Calculating 2 + 40 gives the result 42.

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