Penjelasan dengan langkah-langkah:
2.
a. r = U2 : U1
r = -8 : 2
r = -4
b. r = u2 : u1
r = 10 : 100
r = 1/10
c. r = u2 : u1
r = -12 : 3
==========================
3.
rumus suku ke n ( arⁿ-¹)
u6 : u2
ar⁵ = 96
ar¹ = 6
------------- (bagi)
r⁴ = 16
r =⁴√16
r = 2 ← diperoleh rasio
maka suku pertama
a = u2 : r
a = 6 : 2
a = 3
suku ke 8
u8 = arⁿ-¹
u8 = 3(2⁸-¹)
u8 = 3(2⁷)
u8 = 3(128)
u8 = 384
==============================
4.
u6 : u3
ar⁵ = 1/32
ar² = 1/4
--------------- ( bagi )
r³ = 1/8
r = ³√1/8
r = 1/2 ← diperoleh rasio
suku pertama
a = u3 : r²
a = 1/4 : 1/2²
a = 1/4 : 1/4
a = 1
Un = arⁿ-¹
u8 = 1(1/2⁷)
u8 = 1/128
suku ke 10
u10 = 1(1/2⁹)
u10 = 1/512
==================================
5.
u5 : u3
ar⁴ = 3
ar² = 27
-------------- (bagi)
r² = 1/9
r = √1/9
r = 1/3 ← diperoleh rasio
a = 27 : 1/3²
a = 27 x 9/1
a = 243
suku ke 7
un = arⁿ-¹
u7 = 243(1/3⁶)
u7 = 243(1/729)
u7 = 1/3
======================================
6.
u1 + u2 = 8
u2 + u3 = 24
ar¹+ar² = 24
ar⁰ + ar¹ = 8
------------------- ( bagi)
r = 3 ← diperoleh rasio
maka
3a+9a = 24
a+3a = 8
----------------- (-)
8a = 16
a = 16/8
a = 2
maka suku pertamanya adalah 2
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Verified answer
Penjelasan dengan langkah-langkah:
2.
a. r = U2 : U1
r = -8 : 2
r = -4
b. r = u2 : u1
r = 10 : 100
r = 1/10
c. r = u2 : u1
r = -12 : 3
r = -4
==========================
3.
rumus suku ke n ( arⁿ-¹)
u6 : u2
ar⁵ = 96
ar¹ = 6
------------- (bagi)
r⁴ = 16
r =⁴√16
r = 2 ← diperoleh rasio
maka suku pertama
a = u2 : r
a = 6 : 2
a = 3
suku ke 8
u8 = arⁿ-¹
u8 = 3(2⁸-¹)
u8 = 3(2⁷)
u8 = 3(128)
u8 = 384
==============================
4.
u6 : u3
ar⁵ = 1/32
ar² = 1/4
--------------- ( bagi )
r³ = 1/8
r = ³√1/8
r = 1/2 ← diperoleh rasio
suku pertama
a = u3 : r²
a = 1/4 : 1/2²
a = 1/4 : 1/4
a = 1
suku ke 8
Un = arⁿ-¹
u8 = 1(1/2⁷)
u8 = 1/128
suku ke 10
Un = arⁿ-¹
u10 = 1(1/2⁹)
u10 = 1/512
==================================
5.
u5 : u3
ar⁴ = 3
ar² = 27
-------------- (bagi)
r² = 1/9
r = √1/9
r = 1/3 ← diperoleh rasio
suku pertama
a = u3 : r²
a = 27 : 1/3²
a = 27 x 9/1
a = 243
suku ke 7
un = arⁿ-¹
u7 = 243(1/3⁶)
u7 = 243(1/729)
u7 = 1/3
======================================
6.
u1 + u2 = 8
u2 + u3 = 24
ar¹+ar² = 24
ar⁰ + ar¹ = 8
------------------- ( bagi)
r = 3 ← diperoleh rasio
maka
3a+9a = 24
a+3a = 8
----------------- (-)
8a = 16
a = 16/8
a = 2
maka suku pertamanya adalah 2