Multiple choice

Find the 20th term of the given sequence: 180, 360, 540...

  1. 3420

  2. 3600

  3. 3800

  4. 3840

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B Correct answer
Explanation

The sequence is an arithmetic progression with first term a = 180 and common difference d = 180. The 20th term is a + (20-1)d = 180 + 19 * 180 = 20 * 180 = 3600.

AI explanation

The series increases by a common difference of 180, making it an arithmetic progression. To find the 20th term, use the arithmetic progression formula T = a + (n - 1)d. Substituting the values gives 180 + (20 - 1)180, which simplifies to 180 + 3420. The 20th term is 3600.