-2 + 4 + -8 + ... Tentukan U8 dan S12
Matematika
Atap14
Pertanyaan
-2 + 4 + -8 + ... Tentukan U8 dan S12
1 Jawaban
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1. Jawaban AWidyaP
-2 + 4 + -8 + ...
a=-2
r= 4/-2= -2
U8? S12?
Un = ar^[n-1]
U8 = -2(-2)^[8-1]
= 4^[7]
= 16.384
Sn = a (1 - r^[n]) / 1-r
S12= -2 (1- (-2)^[12]) / 1-(-2)
= -2 ( 1 - 4096) / 3
= -2 (-4095) / 3
= 8190 / 3
= 2730