Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. +  +  + ... +  + ...

A. ; 6
B. ; 6
C. ; 6
D. ; 6


Answer: A

Mathematics

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Solve the inequality. ? 3

A. x ? -3 B. x ? 3 C. x ? -3, x ? 3 D. -3 ? x ? 3

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Solve the problem.A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. A tree takes 14 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 16 hours to paint, and 7 hours to fire. If the workshop has 113 hours for preparation time, 64 hours for painting, and 101 hours for firing, how many of each can be made?

A. 2 wreaths, 7 trees, 6 sleighs B. 7 wreaths, 6 trees, 2 sleighs C. 6 wreaths, 2 trees, 7 sleighs D. 8 wreaths, 7 trees, 3 sleighs

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Verify the identity. = cot ? - tan ?

What will be an ideal response?

Mathematics

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.3 -  , 1 + i

A. f(x) = x4 + 10x3 + 20x2 - 24x + 12 B. f(x) = x4 + 8x3 - 20x2 + 24x + 10 C. f(x) = x4 - 8x3 + 20x2 - 24x + 12 D. f(x) = x4 - 3x3 + 20x2 - 12x + 12

Mathematics