Pertanyaan

Hitunglah U n dan S n dari deret geometri 2 1 , 4 1 , 8 1 , . . . . ( n = 6 )

Hitunglah $U_{n}$ dan $S_{n}$ dari deret geometri $\frac{1}{2}$ , $\frac{1}{4}$ , $\frac{1}{8}$ , . . . . $(n = 6)$

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Deret Geometri

$begin mathsize 14px style U subscript 1 equals a equals 1 half U subscript 2 equals 1 fourth r equals fraction numerator begin display style 1 fourth end style over denominator begin display style 1 half end style end fraction equals 1 fourth times 2 over 1 equals 1 half U subscript 6 equals a r to the power of 5 equals 1 half open parentheses 1 half close parentheses to the power of 5 equals 1 over 64 S subscript 6 equals fraction numerator a left parenthesis 1 minus r to the power of n right parenthesis over denominator 1 minus r end fraction equals fraction numerator begin display style 1 half end style open parentheses 1 minus open parentheses begin display style 1 half end style close parentheses to the power of 6 close parentheses over denominator 1 minus begin display style 1 half end style end fraction equals 63 over 64 end style$