Multiple choice

Find the $17^{th}$ term of the arithmetic sequence $5, 8, 11, 14, $ .......

  1. $50$
  2. $51$
  3. $52$
  4. $53$
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D Correct answer
Explanation

Arithmetic sequence: a = 5, d = 3. Formula for n-th term: a_n = a + (n-1)d. a_17 = 5 + (17-1)3 = 5 + 16*3 = 5 + 48 = 53.

AI explanation

The sequence is an arithmetic progression with the first term a = 5 and the common difference d = 3. Using the formula for the nth term of an arithmetic progression, T_n = a + (n - 1)d, we substitute the values to get T_17 = 5 + (17 - 1)3. Calculating this gives T_17 = 5 + 16 * 3 = 5 + 48 = 53.

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