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Diketahui  merupakan deret geometri dengan , , dan...

Diketahui begin mathsize 14px style a subscript 1 plus a subscript 2 plus. space. space. space plus a subscript n end style merupakan deret geometri dengan begin mathsize 14px style a subscript 1 equals x to the power of negative 2 end exponent end stylebegin mathsize 14px style a subscript 5 equals x squared end style, dan begin mathsize 14px style a subscript 6 equals 8 end style. Tentukan nilai dari begin mathsize 14px style a subscript 7 end style

  1. begin mathsize 14px style.... end style 

  2. undefined 

Jawaban:

Diketahui: begin mathsize 14px style a subscript 1 plus a subscript 2 plus. space. space. space plus a subscript n end style merupakan deret geometri dengan begin mathsize 14px style a subscript 1 equals x to the power of negative 2 end exponent end stylebegin mathsize 14px style a subscript 5 equals x squared end style, dan begin mathsize 14px style a subscript 6 equals 8 end style.

Ditanya: nilai dari: begin mathsize 14px style a subscript 7 equals ? end style 

Jawab: 

begin mathsize 14px style a subscript 1 equals x to the power of negative 2 end exponent a subscript 5 equals x squared a subscript 5 over a subscript 1 equals fraction numerator a r to the power of 4 over denominator a end fraction x squared over x to the power of negative 2 end exponent equals r to the power of 4 x to the power of 4 equals r to the power of 4 x equals r a subscript 6 equals a r to the power of 5 8 equals r to the power of negative 2 end exponent times r to the power of 5 8 equals r cubed r equals 2 x equals 2 a equals 2 to the power of negative 2 end exponent equals 1 fourth a subscript 7 equals a r to the power of 6 equals 1 fourth times 2 to the power of 6 equals 2 to the power of 4 equals 16 end style  

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