A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true.Sn: 2 is a factor of n2 + 11n

What will be an ideal response?


S1:2 is a factor of 12 + 11 ? 1 = 1 + 11 = 12 ?
S2: 2 is a factor of 22 + 11 ? 2 = 4 + 22 = 26 ?
S3: 2 is a factor of 32 + 11 ? 3 = 9 + 33 = 42 ?

Mathematics

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Fill in the blank(s) with the appropriate word(s).

Mathematics

Determine if the sequence is decreasing or nondecreasing and if it is bounded or unbounded from above.an = 

A. Nondecreasing; unbounded B. Nondecreasing; bounded C. Decreasing; bounded D. Decreasing; unbounded

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Evaluate the expression without a calculator.log3 (log4 4)

A. 1 B. 3 C. 4 D. 0

Mathematics

Choose the graph that matches the equation.81x2 = 4y

A.

B.

C.

D.

Mathematics