Multiple choice

Find the arithmetic sequence which follows the function $n^2-1$, where n is the number of terms.

  1. $0, 3, 8, 15..$
  2. $1, 3, 5, 7..$
  3. $2, 3, 5, 7..$
  4. $3, 3, 5, 7..$
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A Correct answer
Explanation

The function is n^2 - 1. For n=1, 1^2-1=0. For n=2, 2^2-1=3. For n=3, 3^2-1=8. For n=4, 4^2-1=15. The sequence is 0, 3, 8, 15.

AI explanation

Substitute the term number n into the given function n^2 - 1 to generate the sequence. For the first term, 1^2 - 1 equals 0. For the second term, 2^2 - 1 equals 3, and continuing this for the third and fourth terms yields 8 and 15. The resulting sequence is 0, 3, 8, 15.