Multiple choice

In the series $357, 363, 369, $.., What will be the ${ 10 }^{ th }$ term?

  1. $405$
  2. $411$
  3. $413$
  4. $417$
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B Correct answer
Explanation

This is an arithmetic progression with first term a = 357 and common difference d = 6. The 10th term is calculated as a + (10 - 1)d = 357 + 9(6) = 357 + 54 = 411.

AI explanation

This is an arithmetic progression with a first term of 357 and a common difference of 6. Using the formula for the nth term, Tn = a + (n - 1)d, we calculate the 10th term as 357 + (10 - 1) x 6. This simplifies to 357 + 54, resulting in the 10th term being 411.