-a-137-and minus-354-b- minus- 52 and 52-c- minus-312- 39 and 192-d- minus- 50- minus- 200 and 300-

(a) 137 + ( minus;354) = minus;217 (b) minus;52 + 52 = 0 (c) minus;312 + 39 + 192 = minus;312 + 231 = minus;81 (d) minus;50 + ...

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Adding Odd Natural Numbers

(a) 137 and ...

Question

(a) 137 and −354 (b) − 52 and 52

(c) − 312, 39 and 192 (d) − 50, − 200 and 300

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(a) 137 and −354 (b) − 52 and 52

- 312, 39

192

(52)_{7} + (46)_{8} = (x)_{10}

A = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} \frac{2}{3} \frac{1}{3} \frac{7}{3} \end{matrix} \begin{matrix} 1 \frac{2}{3} 2 \end{matrix} \begin{matrix} \frac{5}{3} \frac{4}{3} \frac{2}{3} \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦

B = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} \frac{2}{5} \frac{1}{5} \frac{7}{5} \end{matrix} \begin{matrix} \frac{3}{5} \frac{2}{5} \frac{6}{5} \end{matrix} \begin{matrix} 1 \frac{4}{5} \frac{2}{5} \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦

3 A - 5 B

S_{n} = a_{1} + a_{2} + a_{3} + \dots + a_{n},

a_{1} = 1

a_{n} = 2 a_{n - 1} + 1,

n \geq 2

S_{50}

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