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Pertanyaan

Jika deret geometri suku ke-2 adalah 6 dan suku ke-5 adalah 48, jumlah sepuluh suku pertama adalah ....
 

  1. 1.533

  2. 1.533 1 half

  3. 3.066

  4. 3.069

  5. 6.038

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

R u m u s space s u k u space k e minus n space y a i t u space colon  U subscript n equals a r to the power of n minus 1 end exponent  r u m u s space j u m l a h space s a m p a i space s u k u space k e minus n space a d a l a h  S subscript n equals fraction numerator a left parenthesis r to the power of n minus 1 right parenthesis over denominator r minus 1 end fraction semicolon space r space greater than space 1  d a n space u n t u k space m e n c a r i space r a s i o space a d a l a h space  r to the power of m minus n end exponent equals U subscript m over U subscript n  m a k a  r to the power of left parenthesis 5 minus 20 right parenthesis end exponent equals U subscript 5 over U subscript 2 equals 48 over 6 equals 8  r cubed equals 8  r equals 2  U subscript n equals a r to the power of n minus 1 end exponent  a equals fraction numerator U subscript n over denominator r to the power of n minus 1 end fraction equals U subscript 2 over r to the power of 2 minus 1 end exponent equals 6 over 2 equals 3  s e h i n g g a  S subscript n equals fraction numerator a left parenthesis r to the power of n minus 1 right parenthesis over denominator r minus 1 end fraction semicolon r thin space greater than space 1  S subscript 10 equals fraction numerator 3 left parenthesis 2 to the power of 10 minus 1 right parenthesis over denominator 2 minus 1 end fraction equals 3.609

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Jumlah enam suku pertama dari deret geometri 16+24+36+54+... adalah ....

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