Roboguru

Dari barisan geometri diketahui dan , maka tentukan !

Dari barisan geometri diketahui begin mathsize 14px style u subscript 3 equals 4 end style dan begin mathsize 14px style u subscript 9 equals 256 end style, maka tentukan begin mathsize 14px style u subscript 12 end style !

Jawaban:

Rumus suku ke-n barisan geometri adalah begin mathsize 14px style u subscript n equals a. r to the power of n minus 1 end exponent end style .

begin mathsize 14px style u subscript 3 equals equals a. r squared equals 4 space space space space space space space space space space space space space space space space space space space space space rightwards arrow a. r squared equals 4 space u subscript 9 equals a. r to the power of 8 equals 256 space space space space space space space space space space space space space space space space space space space space space space space space space space a.2 squared equals 4 u subscript 9 over u subscript 3 equals fraction numerator a. r to the power of 8 over denominator a. r squared end fraction equals 256 over 4 space space space space space space space space space space space space space space space space space space space space space space space space space space a equals 1 space space space space space space space space space space space space space space space r to the power of 6 equals 64 space space space space space space space space space space space space space space space space space space space space space space space space space u subscript 12 equals a. r to the power of 11 space space space space space space space space space space space space space space space r to the power of 6 equals 2 to the power of 6 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 space. space 2 to the power of 11 space space space space space space space space space space space space space space space space r equals 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2.048 space end style    

Jadi, suku ke-12 barisan tersebut adalah 2.048.

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