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U1 = a = 6
U6 = 192
Ditanya : S₇?
Penyelesaian :
*cari rasio
U₆ = ar n-1
192 = 6 x r⁵
r⁵ = 192/6
r⁵ = 32
r⁵ = 2⁵
r = 2
karena r >1, maka :
Sn = a(rn - 1) / r-1
S₇ = 6(2⁷ - 1) / 2-1
S₇ = 6( 128 - 1) / 1
S₇ = 6(127) /1
S₇ = 762
/r-1nya untuk semua ya.