Multiple choice

What will be the 20th term of the given sequence? 10, 15, 20, 25, 30,...

  1. 90

  2. 95

  3. 100

  4. 105

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D Correct answer
Explanation

Arithmetic sequence: a = 10, d = 5. 20th term = a + 19d = 10 + 19*5 = 10 + 95 = 105.

AI explanation

The given sequence is an arithmetic progression where the first term (a) is 10 and the common difference (d) is 5. Using the arithmetic progression nth term formula, T_n = a + (n - 1)d, we substitute the known values to find the 20th term: T_20 = 10 + (20 - 1)5. This simplifies to 10 + 95, which equals 105.