suatu barisan bilangan 8,4,2,1,..... maka tentukan a] U10 : b ] S10 :
Matematika
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Pertanyaan
suatu barisan bilangan 8,4,2,1,..... maka tentukan a] U10 : b ] S10 :
2 Jawaban
-
1. Jawaban rezahadi26oubha2
un =ar^n-1
u10=8×(1/2)¹⁰⁻¹
=8×(1/2)⁹
=8×1/512
=8/512
=1/64
sn =a(1-r^n)/1-r
=8(1-(1/2)¹⁰)/1-1/2
=8(1-1/1024)/1/2
=8(1023/1024)/1/2
=8184/1024/1/2
=16368/1024
=15 1008/1024
=limabelas 1008 per 1024(pecahan campuran) -
2. Jawaban jpallo
8, 4, 2, 1,...
U₁ = a = 8
r = 4 : 8
= 1/2
U₁₀ = ar⁹
= 8 x (1/2)⁹
= 8 x 1/512
= 1/64
(1 - rⁿ)
S₁₀ = a x -----------
1 - r
(1 - 1/2¹⁰)
= 8 x ----------------
1 - 1/2
1 - 1/1024
= 8 x ----------------
1/2
1023/1024
= 8 x ----------------
1/2
1023
= 8 x ---------
512
= 1023/64
semoga jelas dan membantu ya