Multiple choice

Is $200$ any term of the sequence $3, 7, 11, 15,..?$

  1. Yes

  2. No

  3. Ambiguous

  4. Data insufficient
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

This is an AP with a=3, d=4. Term n = a + (n-1)d = 3 + (n-1)4 = 4n - 1. If 4n - 1 = 200, then 4n = 201, which has no integer solution for n.

AI explanation

The sequence is an arithmetic progression with first term 3 and common difference 4. The formula for the nth term is a + (n - 1)d. Setting the term to 200 gives 3 + (n - 1)*4 = 200, so 4(n - 1) = 197 and n - 1 = 49.25. Since the term number n must be a whole number, 200 is not a term in the sequence.

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