jumlah deret takterhingga dari 16+4+1... adalah

Bab Limit
Matematika SMA Kelas XI

limit tak hingga
a = 16
r = 1/4

S∞ = a : (1 - r)
S∞ = 16 : (1 - 1/4)
S∞ = 16 : (4 - 1)/4
S∞ = 16 x 4/3
S∞ = 64/3
S∞ = 21 1/3

Rumus:
s∞ = (a)/(1 - r)

Diketahui:
a = 16
r = 4/16 = 1/4

Ditanya:
s∞ = ???

Jawab:
s∞ = (a)/(1 - r)
s∞ = (16)/(1 - 1/4)
s∞ = (16)/(4/4 - 1/4)
s∞ = (16)/(3/4)
s∞ = 16 x 4/3
s∞ = 64/3
s∞ = 21 1/3