barisan dan deret 1. 20, 26, 32,... tentukan U5, U7, S5, S7 2. 3, 12, 48,... tentukan U4, U8, S4, S6
Matematika
akbar15islamiati
Pertanyaan
barisan dan deret
1. 20, 26, 32,...
tentukan U5, U7, S5, S7
2. 3, 12, 48,...
tentukan U4, U8, S4, S6
1. 20, 26, 32,...
tentukan U5, U7, S5, S7
2. 3, 12, 48,...
tentukan U4, U8, S4, S6
2 Jawaban
-
1. Jawaban meisyhrds98
1.
rumus Un = a + (n-1) .b
rumus Sn= 1/2 n (2.a + (n-1) . b)
u5= 20 + (5-1) . 6 =44
u7= 20 + (7-1) . 6 = 56
s5= 1/2 5 ( 2.20 + (5-1) . 6) = 115
s7= 1/2 7 (2.20 + (7-1) . 6 )= 266
2.
u4= 2 + (4-1) . 1 = 5
u8= 2 + (8-1) .1 = 9
s4= 1/2 4 (2.2 + (4-1) . 1) = 14
s6= 1/2 6 (2.2 + (6-1) .1) = 27 -
2. Jawaban tiarasukma17
1. a = 20
b = 4
Un = a + (n-1)b
U₅ = 20 + 4(6))
= 46
U₇ = 20 + 6(6)
= 56
Sn = n/2 (U₁ + Un)
S₅ = 5/2 (20 + 46)
= 5/2 (66)
= 165
S₇ = 7/2 (20 + 56)
= 7/2 (76)
= 266
2. a = 3
r = 4
Un = a(r)^n-1
U₄ = 3(4)⁴⁻¹
= 3(4)³
= 3(64)
= 192
U₈ = 3(4)⁸⁻¹
= 3(4)⁷
= 3(16384)
= 49152
Sn = a(r^n - 1) / r - 1
S₄ = 3(4⁴ - 1) / 4 - 1
= 3(256) / 3
= 256
S₆ = 3(4⁶ - 1) / 6 - 1
= 3(4095) / 5
= 2457