Test 6
1.
Which expression represents the sum
\(1+2+3+\cdots+75?\)
A) \(\sum_{k=1}^{70}(k+5)\)B) \(\sum_{k=0}^{74}(k+2)\)C) \(\sum_{k=1}^{74}k\)D) \(\sum_{k=2}^{76}(k-1)\)E) \(\sum_{k=0}^{75}(k+1)\)
2.
Which expression represents the sum
\(8+11+\cdots+68?\)
A) \(\sum_{k=5}^{95}k\)B) \(\sum_{k=5}^{33}(3k+2)\)C) \(\sum_{k=1}^{31}(4k+1)\)D) \(\sum_{k=1}^{21}(3k+5)\)E) \(\sum_{k=2}^{33}(3k-4)\)
3.
Which expression represents the sum
\(9+14+21+30+41+\cdots+149?\)
A) \(\sum_{k=12}^{137}k\)B) \(\sum_{k=2}^{11}(k^2+3)\)C) \(\sum_{k=1}^{12}(k^2+3)\)D) \(\sum_{k=4}^{49}3k\)E) \(\sum_{k=2}^{12}(k^2+5)\)
4.
Which expression represents the sum
\(\samefrac1{6\cdot7}+\samefrac1{7\cdot8}+\samefrac1{8\cdot9}+\cdots+\samefrac1{22\cdot23}?\)
A) \(\sum_{k=1}^{22}\samefrac1{k(k+1)}\)B) \(\sum_{k=5}^{20}\samefrac1{(k+1)(k+2)}\)C) \(\sum_{k=6}^{22}\samefrac1{k(k+1)}\)D) \(\sum_{k=7}^{20}\samefrac1{k(k-1)}\)E) \(\sum_{k=6}^{20}\samefrac1{k(k-1)}\)
5.
Which expression represents the sum
\(1\cdot4+2\cdot5+3\cdot6+\cdots+25\cdot28?\)
A) \(\sum_{k=1}^{20}k(k+2)\)B) \(\sum_{m=1}^{23}m(m+3)\)C) \(\sum_{i=1}^{21}i(i+4)\)D) \(\sum_{k=1}^{24}k(3k-1)\)E) \(\sum_{k=1}^{25}k(k+3)\)
6.
Which expression represents the sum
\(\samefrac14+\samefrac29+\samefrac3{16}+\cdots+\samefrac{15}{256}?\)
A) \(\sum_{k=1}^{15}\samefrac{k}{k^2+2}\)B) \(\sum_{k=1}^{14}\samefrac{k}{3k+1}\)C) \(\sum_{k=1}^{14}\samefrac{2k}{(k+1)^2}\)D) \(\sum_{k=-1}^{13}\samefrac{k+2}{(k+3)^2}\)E) \(\sum_{k=2}^{14}\samefrac{k}{(k-1)^2}\)