Nomor 1
[tex] \displaystyle \tt\sum_{t=1}^{5} {t}^{2} [/tex]
[tex] \tt = {1}^{2} + {2}^{2} + {3}^{2} + {4}^{2} + {5}^{2} [/tex]
[tex] \tt = \underline{1 + 4 }+ \underline{ 9 + 16} + 25[/tex]
[tex] \tt = \underline{5 + 25 }+ 2[/tex]
[tex] \tt = 30 + 25[/tex]
[tex] \tt = \bold{ 55}[/tex]
[tex] \\ [/tex]
Nomor 2
[tex] \displaystyle \tt\sum_{n=0}^{7} (2n + 1)[/tex]
[tex] \small{ \tt = (2(0) + 1) + (2(1) + 1) + (2(2) + 1) + (2(3) + 1) + (2(4) + 1) + (2(5) + 1) + (2(6) + 1) + (2(7) + 1)}[/tex]
[tex] \tt = \underline{1 + 3}+ \underline{ 5 + 7 }+ \underline{ 9 + 11 }+ \underline{13 + 15}[/tex]
[tex] \tt = \underline{ 4 + 12 }+ \underline{20 + 28 }[/tex]
[tex] \tt = 16 + 48[/tex]
[tex] \tt = 64[/tex]
[tex] \\ [/tex]
Nomor 3
[tex] \displaystyle \tt\sum_{n = 2}^{6} {2}^{n - 2} [/tex]
[tex] \tt = {2}^{2 - 2} + {2}^{3 - 2} + {2}^{4 - 2} + {2}^{5 - 2} + {2}^{6 - 2} [/tex]
[tex] \tt = {2}^{0} + {2}^{1} + {2}^{2} + {2}^{3} + {2}^{4} [/tex]
[tex] \tt = \underline{1 + 2 }+ \underline{4 + 8 }+ 16[/tex]
[tex] \tt = \underline{ 3 + 12 }+ 16[/tex]
[tex] \tt = 15 + 16[/tex]
[tex] \tt = 31[/tex]
[tex] \\ [/tex]
Nomor 4
[tex] \displaystyle \tt\sum_{i=1}^{11} {( - 1)}^{i} [/tex]
[tex] \tiny\tt = {( - 1)}^{1} + {( - 1)}^{2} + {( - 1)}^{3} + {( - 1)}^{4} + {( - 1)}^{5} + {( - 1)}^{6} + {( - 1)}^{7} + {( - 1)}^{8} + {( - 1)}^{9} + {( - 1)}^{10} + {( - 1)}^{11} [/tex]
[tex] \tiny \tt = \underline{ ( - 1) + 1 }+ \underline{( - 1) + 1 }+ \underline{( - 1) + 1 }+ \underline{( - 1) + 1 }+ \underline{( - 1) + 1 }+ ( - 1)[/tex]
[tex] \tiny \tt = 0 + 0 + 0 + 0 + 0 + ( - 1)[/tex]
[tex] \tiny \tt = - 1[/tex]
[tex] \\ [/tex]
Nomor 5
[tex] \displaystyle \tt\sum_{a= - 2}^{4} \begin{pmatrix} \frac{a}{a + 6} \end{pmatrix}[/tex]
[tex]\tiny\tt = ( \frac{ - 2}{ - 2 + 6} ) + ( \frac{ - 1}{ - 1 + 6} ) + ( \frac{0}{0 + 6} ) + ( \frac{1}{1 + 6} ) + ( \frac{2}{2 + 6} ) + ( \frac{3}{3 + 6} ) + ( \frac{4}{4 + 6} )[/tex]
[tex] \tt = \frac{ - 2}{4} + \frac{ - 3}{5} + 0 + \frac{1}{7} + \frac{2}{8} + \frac{3}{9} + \frac{4}{10} [/tex]
[tex] \tt = \frac{ \underline{- 1260 +( - 162)}+ \underline{360 + 630}+ \underline{840 + 1008} }{2520} [/tex]
[tex] \tt = \frac{ - 1422 +990 +1848}{2520} [/tex]
[tex] \tt = \frac{ - 432 + 1848}{2520} [/tex]
[tex] \tt = \frac{1416}{2520} [/tex]
[tex] \tt = \frac{177}{315} [/tex]
[tex] \\ [/tex]
Nomor 6
[tex] \displaystyle \tt\sum_{n = 3}^{6} \frac{n + 1}{n - 2} [/tex]
[tex] \tt = \frac{3 + 1}{3 - 2} + \frac{4 + 1}{4 - 2} + \frac{5 + 1}{5 - 2} + \frac{6 + 1}{6 - 2} [/tex]
[tex] \tt = \frac{4}{1} + \frac{5}{3} + \frac{6}{3} + \frac{7}{4} [/tex]
[tex] \tt = 4 + \frac{5}{3} + 2 + \frac{7}{4} [/tex]
[tex] \tt = (4 + 2) + ( \frac{5}{3} + \frac{7}{4} )[/tex]
[tex] \tt = 6 + ( \frac{20 + 21}{12} )[/tex]
[tex] \tt = 6 + \frac{41}{12} [/tex]
[tex] \tt = 6 +3 \frac{5}{12} [/tex]
[tex] \tt = 9 \frac{5}{12} [/tex]
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