A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely.Sn: 12 + 42 + 72 + . . . + (3n - 2)2 = 
What will be an ideal response?
Sk: 12 + 42 + 72 + . . . + (3k - 2)2 =
Sk+1: 12 + 42 + 72 + . . . + (3k + 1)2 =
Mathematics
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Solve the quadratic equation.4x2 + 10x + 2 = 0
A.
B.
C.
D.
Mathematics
Find the pair of numbers whose product and sum are given.Product: -32 Sum: -4
A. 32 and -1 B. -32 and 1 C. 8 and -4 D. -8 and 4
Mathematics
Rewrite the equation in a rotated x'y'-system without an x'y' term. Express the equation involving x' and y' in the standard form of a conic section.4x2 - 4xy + y2 - 6x + 12 = 0
A. + y'2 = 1
B. +
= 1
C. 2 =
x' -
D. y'2 = -6x'
Mathematics
Divide using the division properties.
A. 0 B. undefined C. 96 D. 1
Mathematics