Multiple choice

What is the 405th term of the given sequence? 2, 4.5, 7, ...

  1. 996

  2. 998

  3. 1000

  4. 1012
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D Correct answer
Explanation

Arithmetic sequence: a = 2, d = 2.5. a_n = a + (n-1)d. a_405 = 2 + (404 * 2.5) = 2 + 1010 = 1012.

AI explanation

The sequence is an arithmetic progression with the first term a as 2 and the common difference d as 2.5. Using the formula for the nth term of an arithmetic progression, Tn = a + (n - 1)d, we calculate the 405th term as 2 + (405 - 1) * 2.5. This simplifies to 2 + (404 * 2.5), which equals 2 + 1010 = 1012.

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