Explanations: Arithmetic Sequence: Every number in the sequence is either added or subtracted by the same number. We know that 12, 4, -4, -12 is arithmetic because each number in the sequence is subtracted by 8.
Geometric Sequence: Every number in the sequence is either multiplied or divided by the same number. We know that 1, 6, 36, 216 is geometric because each number in the sequence is multiplied by 6. We also know that -216, -72, -24, -8 is geometric because each number in the sequence is being divided by 3.
Neither: 1, 2, 8, 64 is neither because it is not being added, subtracted, multiplied, or divided by the same number.
If you have a quadratic equation in the form ax^2+bx+c Step 1) Determine the product of AC (the coefficients in a quadratic equation) Step 2) Determine what factors of a⋅ca⋅c sum to bb Step 3) "ungroup" the middle term to become the sum of the factors found in step 2 Step 4) group the pairs.