geometri: U2 = 6, U5 = 162 Tentukan U4 dan S3 ?
Matematika
anisyahst
Pertanyaan
geometri:
U2 = 6, U5 = 162
Tentukan U4 dan S3 ?
U2 = 6, U5 = 162
Tentukan U4 dan S3 ?
2 Jawaban
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1. Jawaban fauziahhannum1
U2 = ar
6 = ar .... prsmaan 1
U5 = [tex]a r^{4} [/tex]
162 = [tex]a r^{4} [/tex] .....prsmaan 2
persamaan 2 bagi prsamaan 1
162 = [tex]a r^{4} [/tex] .....prsmaan 2
6 = ar .... prsmaan 1
27 = [tex] r^{3} [/tex]
r = 3
U2 = 6
ar = 6
a x 3 = 6
a = 2
U4 = ar[tex] ^{3} [/tex] = 2 x 3[tex] ^{3} [/tex] = 54 -
2. Jawaban kimjoonra
r = Un/Un-1
= U5/U2 l a.r^4/a.r^1 l 162/6
= r^3 = 27
= r = ∛27
= r = 3
U2= a.r^n-1
6 = a.3^1
6 = 3a
a = 2
U4 = a.r^n-1
= 2.3^3
= 54
S3 = a((r^n) - 1) / r-1
= 2((3^2) - 1) / 2
= 8