Test 19
1.
\(\prod_{m=1}^{2}\prod_{n=2}^{3}(3^{mn})=?\)
A) \(3^5\)B) \(3^{10}\)C) \(3^{15}\)D) \(3^{20}\)E) \(3^{25}\)
2.
\(\prod_{k=1}^{3}\prod_{n=2}^{k}\left(1+\samefrac1n\right)=?\)
A) \(\samefrac16\)B) \(\samefrac13\)C) \(\samefrac14\)D) \(2\)E) \(3\)
3.
\(\sum_{k=1}^{4}\sum_{m=1}^{4}\sum_{n=1}^{4}3=?\)
A) \(27\)B) \(64\)C) \(81\)D) \(192\)E) \(256\)
4.
\(\sum_{k=-3}^{4}\sum_{m=2}^{199}\log\left(\samefrac{m}{m+1}\right)=?\)
A) \(-20\)B) \(-16\)C) \(-14\)D) \(-10\)E) \(-8\)
5.
\(\sum_{k=-1}^{12}(k+4)=?\)
A) \(105\)B) \(128\)C) \(133\)D) \(145\)E) \(162\)
6.
\(\sum_{k=1}^{x}k^3=36\)
\(\Rightarrow x=?\)
A) \(3\)B) \(4\)C) \(5\)D) \(6\)E) \(7\)
7.
\(\sum_{k=2}^{10}(2k+1)=?\)
A) \(110\)B) \(117\)C) \(120\)D) \(128\)E) \(130\)
8.
Which expression represents
\(2\cdot4\cdot6\cdots30?\)
A) \(\prod_{k=2}^{15}(2k)\)B) \(\prod_{k=1}^{15}(2k)\)C) \(\prod_{k=1}^{30}(2k)\)D) \(\prod_{k=1}^{15}(2k!)\)E) \(\prod_{k=1}^{5}2^k\)