Multiple choice

Find the $50^{th}$ term of the given arithmetic series: $4 + 9 + 14 + 19 + ....$

  1. $149$
  2. $249$
  3. $349$
  4. $449$
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B Correct answer
Explanation

The series is arithmetic with a = 4 and d = 5. The 50th term is a + (n-1)d = 4 + (49 * 5) = 4 + 245 = 249.

AI explanation

Using the formula for the nth term of an arithmetic progression, we calculate the 50th term. The first term is 4 and the common difference is 5. Applying the formula a + (n - 1)d, we get 4 + (50 - 1)5, which equals 4 + 245, resulting in 249.

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