no 2 aja tolong ya gan, sama caranya
Matematika
imron8761
Pertanyaan
no 2 aja tolong ya gan, sama caranya
1 Jawaban
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1. Jawaban jpallo
2a) 7 + 10 + 13 + ...+ 64
deret aritmatika ===> U₁ = a = 7 ; b = 3 ; Un = 64 ; jumlah suku = n = ?
Un = a + (n - 1)b
64 = 7 + (n - 1) x 3
64 = 7 + 3n - 3
64 = 4 + 3n =====> 3n = 60 ===> n = 20
Jadi banyaknya suku = 20
Jumlah 20 suku tsb adalah:
Sn = n/2 x (a + Un)
S₂₀ = 20/2 x (7 + 64)
= 10 x 71
= 710
b) -8 + 16 - 32 + ... + 512
deret geometri ===> U₁ = a = -8
U₂ = ar ===> 16 = -8 x r ===> r = -2
Un = arⁿ⁻¹ ===> 512 = -8 x (-2)ⁿ⁻¹
-64 = -2ⁿ⁻¹
64 = 2ⁿ⁻¹
2⁶ = 2ⁿ⁻¹ ===> 6 = n - 1 ===> n = 7
Jadi banyaknya suku pada deret geometri tsb di atas = 7
a x (1 - rⁿ)
Sn = ----------------
1 - r
-8 x (1 - (-2⁷))
S₇ = ---------------------
1 - (-2)
-8 x (1 + 128)
S₇ = --------------------
3
-8 - 1024 -1032
S₇ = --------------- = ------------
3 3
S₇ = -344
semoga jelas dan membantu ya