Write the first six terms of the sequence beginning with the given term. Then calculate the first and second differences of the sequence. State whether the sequence has a linear model, a quadratic model, or neither.
?
a1 = 1
an = an - 1 + 2n
?
A. 1, 5, 11, 19, 29, 41First differences: 4, 6, 8, 10, 12Second differences: 2, 2, 2, 2Quadratic
B. 1, 5, 11, 19, 29, 41First differences: 4, 6, 8, 10, 12Second differences: -2, -2, -2, -2Quadratic
C. 1, 5, 11, 19, 29, 41First differences: 2, 2, 2, 2Second differences: 4, 6, 8, 10, 12Linear
D. 1, 5, 11, 19, 29, 41First differences: -2, -2, -2, 2Second differences: 4, 6, 8, 10, 12Neither
E. 1, 5, 11, 19, 29, 41First differences: -2, 2, -2, 2Second differences: 4, 6, 8, 10, 12Linear
Answer: A
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Solve the equation. Express radicals in simplest form.(x + 16)2 - 6 = 0
A. {-4 + 
, -4 - 
}
B. {16 + 
, 16 - 
}
C. {-10, 22}
D. {-16 + 
, -16 - 
}