hitunglah jumlah deret aritmetika berikut: a. 35+31+27+23+....jika banyak sukunya 40 b. 1/3+1/2+2/3+5/6+..... jika banyak sukunya 11
Matematika
Indahsusanty12
Pertanyaan
hitunglah jumlah deret aritmetika berikut: a. 35+31+27+23+....jika banyak sukunya 40
b. 1/3+1/2+2/3+5/6+..... jika banyak sukunya 11
b. 1/3+1/2+2/3+5/6+..... jika banyak sukunya 11
2 Jawaban
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1. Jawaban Anonyme
Bab Barisan dan Deret
Matematika SMP Kelas VIII
Aritmatika
a] a = 35
b = U2 - U1
= 31 - 35
= -4
Sn = (n/2) x (2a + (n - 1) b)
S40 = (40/2) x (2 x 35 + 39 x (-4))
= 20 x (70 - 156)
= 20 x (-86)
= -1/720
b] a = 1/3
b = U2 - U1
= 1/2 - 1/3
= 3/6 - 2/6
= 1/6
Sn = (n/2) x (2a + (n - 1) x b)
S11 = (11/2) x (2 x (1/3) + 10 x 1/6)
= 11/2 x (2/3 + 5/3)
= 11/2 x 7/3
= 77/6
= 12 5/6 -