Bereken die som van elk van die volgende reekse: (1) \( 2+\frac{1}{2}+4+\frac{1}{4}+8+\frac{1}{8}+16+\frac{1}{16}+\ldots \) (tot 16 terme) (2) \( 2+3+9+5+16+7+23+9+\ldots \) (tot 25 terme \( ) \) (3) \( 4+8+4+6+4+4+4+2+\ldots \) (tot 30 terme \( ) \) (4) \( \frac{2}{3}-3+2-3+6-3+18-3+\ldots \) (tot 19 terme)

Calculate the value by following steps: - step0: Calculate: \(2+3+9+5+16+7+23+9\) - step1: Add the numbers: \(74\) Calculate or simplify the expression \( 4 + 8 + 4 + 6 + 4 + 4 + 4 + 2 \). Calculate the value by following steps: - step0: Calculate: \(4+8+4+6+4+4+4+2\) - step1: Write as a multiplication: \(4\times 5+8+6+2\) - step2: Multiply the numbers: \(20+8+6+2\) - step3: Add the numbers: \(36\) Calculate or simplify the expression \( 2/3 - 3 + 2 - 3 + 6 - 3 + 18 - 3 \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{3}-3+2-3+6-3+18-3\) - step1: Write as a multiplication: \(\frac{2}{3}-3\times 4+2+6+18\) - step2: Multiply the numbers: \(\frac{2}{3}-12+2+6+18\) - step3: Add the numbers: \(\frac{2}{3}+14\) - step4: Reduce fractions to a common denominator: \(\frac{2}{3}+\frac{14\times 3}{3}\) - step5: Transform the expression: \(\frac{2+14\times 3}{3}\) - step6: Multiply the numbers: \(\frac{2+42}{3}\) - step7: Add the numbers: \(\frac{44}{3}\) Calculate or simplify the expression \( 2 + 1/2 + 4 + 1/4 + 8 + 1/8 + 16 + 1/16 \). Calculate the value by following steps: - step0: Calculate: \(2+\frac{1}{2}+4+\frac{1}{4}+8+\frac{1}{8}+16+\frac{1}{16}\) - step1: Add the numbers: \(30+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\) - step2: Reduce fractions to a common denominator: \(\frac{30\times 2\times 2\times 2\times 2}{2\times 2\times 2\times 2}+\frac{2\times 2\times 2}{2\times 2\times 2\times 2}+\frac{2\times 2}{4\times 2\times 2}+\frac{2}{8\times 2}+\frac{1}{16}\) - step3: Multiply the terms: \(\frac{30\times 2\times 2\times 2\times 2}{16}+\frac{2\times 2\times 2}{2\times 2\times 2\times 2}+\frac{2\times 2}{4\times 2\times 2}+\frac{2}{8\times 2}+\frac{1}{16}\) - step4: Multiply the terms: \(\frac{30\times 2\times 2\times 2\times 2}{16}+\frac{2\times 2\times 2}{16}+\frac{2\times 2}{4\times 2\times 2}+\frac{2}{8\times 2}+\frac{1}{16}\) - step5: Multiply the terms: \(\frac{30\times 2\times 2\times 2\times 2}{16}+\frac{2\times 2\times 2}{16}+\frac{2\times 2}{16}+\frac{2}{8\times 2}+\frac{1}{16}\) - step6: Multiply the numbers: \(\frac{30\times 2\times 2\times 2\times 2}{16}+\frac{2\times 2\times 2}{16}+\frac{2\times 2}{16}+\frac{2}{16}+\frac{1}{16}\) - step7: Transform the expression: \(\frac{30\times 2\times 2\times 2\times 2+2\times 2\times 2+2\times 2+2+1}{16}\) - step8: Multiply the terms: \(\frac{480+2\times 2\times 2+2\times 2+2+1}{16}\) - step9: Multiply the terms: \(\frac{480+8+2\times 2+2+1}{16}\) - step10: Multiply the numbers: \(\frac{480+8+4+2+1}{16}\) - step11: Add the numbers: \(\frac{495}{16}\) Hier is die berekening van die som van elke reeks: (1) **Reeks:** \( 2+\frac{1}{2}+4+\frac{1}{4}+8+\frac{1}{8}+16+\frac{1}{16}+\ldots \) (tot 16 terme) Die som van hierdie reeks is \( \frac{495}{16} \) of \( 30\frac{15}{16} \) of ongeveer \( 30.9375 \). --- (2) **Reeks:** \( 2+3+9+5+16+7+23+9+\ldots \) (tot 25 terme) Die som van hierdie reeks is \( 74 \). --- (3) **Reeks:** \( 4+8+4+6+4+4+4+2+\ldots \) (tot 30 terme) Die som van hierdie reeks is \( 36 \). --- (4) **Reeks:** \( \frac{2}{3}-3+2-3+6-3+18-3+\ldots \) (tot 19 terme) Die som van hierdie reeks is \( \frac{44}{3} \) of \( 14\frac{2}{3} \) of ongeveer \( 14.6667 \). --- As jy enige verdere vrae het of meer hulp benodig, laat weet my!