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Shayna, Jamal, and Anjali are finding the 2nd differences for the sequence with the formula ^a n=^n 2−3.

Shayna says the 2nd differences are a constant value of 5.
Jamal says the 2nd differences are a constant value of 7.
Anjali says the 2nd differences are a constant value of 2.
Is Shayna, Jamal, or Anjali correct in finding the 2nd differences?

1. Anjali is correct. Jamal and Shayna both calculated 1st differences.
2. Shayna is correct. Jamal used the wrong terms, and Anjali subtracted too many times.
3. Anjali is correct because the polynomial is a degree of 2.
4. Jamal is correct. Shayna calculated based on the wrong terms, and Anjali subtracted too many times.

None of the options provided are correct. The 2nd differences can be found by taking the differences between consecutive 1st differences. In this case, calculating the 1st differences would give the sequence ^n 2-3, which simplifies to 2n-3. Calculating the 1st differences of this sequence results in 2, 3, 4, 5, 6,... This is a linear sequence with a 1st difference of 1. Taking the differences between consecutive 1st differences, we get a constant value of 1. Therefore, none of the given options accurately states who is correct in finding the 2nd differences.

1. Anjali is correct. Jamal and Shayna both calculated 1st differences.