Multiple choice

What is the 400th term of the given sequence? 2, 5, 8, 11, ...

  1. 1107

  2. 1180

  3. 1199

  4. 1200
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C Correct answer
Explanation

This is an arithmetic progression with a = 2 and d = 3. The nth term is a + (n-1)d. For n=400, term = 2 + (399*3) = 2 + 1197 = 1199.

AI explanation

The given sequence is an arithmetic progression where the first term is 2 and the common difference is 3. To find the 400th term, use the formula Tn equals a plus open parenthesis n minus 1 close parenthesis multiplied by d. Substituting the values gives 2 plus open parenthesis 400 minus 1 close parenthesis multiplied by 3, which simplifies to 2 plus 1197, resulting in 1199.

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