Determine whether the statement is true or false. If true, prove using mathematical induction. If false, find a counterexample.
If n is a positive integer, then 2 + 4 + 8 + 16 + . . . + 2^n = n(n + 1)
False: When n = 3, the left side is 2 + 4 + 8 = 14 which is not equal to the right side,
3(3 + 1) = 12.
Mathematics
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Find the power of i.(-i)11
A. 1 B. -1 C. -i D. i
Mathematics
Find the indicated vector in terms of i and j.If u = -11i - 2j and v = -7i + 7j, find u - v.
A. -4i - 9j B. -5i + 5j C. -18i + 5j D. -6i + 5j
Mathematics
Perform the indicated operations and simplify.0.12(-7) - 0.85
A. -0.92 B. -3.9375 C. -1.55 D. -0.0785
Mathematics
Solve.The product of the page numbers on two facing pages of a book is 342. Find the page numbers.
A. The page numbers are 17 and 18. B. The page numbers are 17 and 19. C. The page numbers are 18 and 19. D. The page numbers are 18 and 20.
Mathematics