Pertanyaan

Hitunglah S ∞ dari deret berikut. 1 + 2 3 2 − 1 + 12 3 − 2 2 + 24 3 5 2 − 7 .

Hitunglah $S_{\infty}$ dari deret berikut.

$1 + \frac{2 - 1}{2 3} + \frac{3 - 2 2}{12} + \frac{5 2 - 7}{24 3}$ .

I. Ridha

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Suku pertama Rasio

Suku pertama

Rasio $begin mathsize 14px style r equals fraction numerator square root of 2 minus 1 over denominator 2 square root of 3 end fraction end style$

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell S subscript infinity end cell equals cell fraction numerator a over denominator 1 minus r end fraction end cell row blank equals cell fraction numerator 1 over denominator 1 minus begin display style fraction numerator square root of 2 minus 1 over denominator 2 square root of 3 end fraction end style end fraction end cell row blank equals cell 1 divided by open parentheses fraction numerator 2 square root of 3 minus square root of 2 plus 1 over denominator 2 square root of 3 end fraction close parentheses end cell row blank equals cell 1 cross times fraction numerator 2 square root of 3 over denominator 2 square root of 3 minus square root of 2 plus 1 end fraction end cell row blank equals cell fraction numerator 2 square root of 3 over denominator 2 square root of 3 minus square root of 2 plus 1 end fraction end cell end table end style$