Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.1 -  +  -  + . . .

A. Converges; 
B. Converges; - 
C. Converges; 
D. Diverges


Answer: C

Mathematics

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Expand.(5x + 3)4

A. 1875x4 + 4500 x3 + 1350x2 + 1620x + 81 B. (25x2 + 15x + 9)4 C. 625x4 + 1500x3 + 1350x2 + 540x + 81 D. 625x3 + 1500x2 + 1350x + 540

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Perform the indicated operation and simplify.  + 

A. 1
B.
C.
D.

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Solve the problem.A sample of 1000 g of lead-210 decays to polonium-210 according to the function given by  where t is time in years. What is the amount of the sample after 70 years? Round the answer to the nearest gram.

A. 29 g B. 77 g C. 106 g D. 9393 g

Mathematics