Azka A

08 Oktober 2024 12:41

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Azka A

08 Oktober 2024 12:41

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09 Oktober 2024 00:47

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<p>a. U<sub>n</sub> = 2<sup>n </sup>- 1</p><p>&nbsp; &nbsp; &nbsp;U<sub>1</sub> = 2<sup>1</sup> - 1 = 2 - 1 = 1</p><p>&nbsp; &nbsp; &nbsp;U<sub>2</sub> = 2<sup>2</sup> - 1 = 4 - 1 = 3</p><p>&nbsp; &nbsp; &nbsp;U<sub>3</sub> = 2<sup>3</sup> - 1 = 8 - 1 = 7</p><p>&nbsp; &nbsp; &nbsp;U<sub>4</sub> = 2<sup>4</sup> - 1 = 16 - 1 = 15</p><p>&nbsp; &nbsp; &nbsp;.......</p><p>&nbsp; &nbsp; &nbsp; Pola bilangannya = 1, 3, 7, 15, ......</p><p>&nbsp;</p><p>b. U<sub>n</sub> = 3(n + 2)<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp;U<sub>1</sub> = 3(1 + 2)<sup>2</sup> = 3(3<sup>2</sup>) = 3(9) = 27</p><p>&nbsp; &nbsp; &nbsp;U<sub>2</sub> = 3(2 + 2)<sup>2</sup> = 3(4<sup>2</sup>) = 3(16) = 48</p><p>&nbsp; &nbsp; &nbsp;U<sub>3</sub> = 3(3 + 2)<sup>2</sup> = 3(5<sup>2</sup>) = 3(25) = 75</p><p>&nbsp; &nbsp; &nbsp;U<sub>4</sub> = 3(4 + 2)<sup>2</sup> = 3(6<sup>2</sup>) = 3(36) = 108</p><p>&nbsp; &nbsp; &nbsp;......&nbsp;</p><p>&nbsp; &nbsp; &nbsp;Pola bilangannya = &nbsp;27, 48, 75, 108, .......</p><p>&nbsp;</p>

a. Un = 2n - 1

     U1 = 21 - 1 = 2 - 1 = 1

     U2 = 22 - 1 = 4 - 1 = 3

     U3 = 23 - 1 = 8 - 1 = 7

     U4 = 24 - 1 = 16 - 1 = 15

     .......

      Pola bilangannya = 1, 3, 7, 15, ......

 

b. Un = 3(n + 2)2

     U1 = 3(1 + 2)2 = 3(32) = 3(9) = 27

     U2 = 3(2 + 2)2 = 3(42) = 3(16) = 48

     U3 = 3(3 + 2)2 = 3(52) = 3(25) = 75

     U4 = 3(4 + 2)2 = 3(62) = 3(36) = 108

     ...... 

     Pola bilangannya =  27, 48, 75, 108, .......

 


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