Find the next term in this series: XXVII, CXXV, CCCXLIII, DCCXXIX, ??
Pick ONE option
A) MCCCXXXI
B) MDCCXXXII
C) MCCXCII
D) MCLXXI
Answers
Given : series: XXVII, CXXV, CCCXLIII, DCCXXIX
To find : Next number in series
Solution:
Roman Numbers
I = 1
V = 5
X = 10
L = 50
C = 100
D = 500
M = 1000
XXVII = 10 + 10 + 5 + 1 + 1 = 27 = 3³
CXXV = 100 + 10 + 10 + 5 = 125 = 5³
CCCXLIII = 100 + 100 + 100 -10 + 50 + 1 + 1 + 1 = 343 = 7³
DCCXXIX = 500 + 100 + 100 + 10 + 10 -1 + 10 = 729 = 9³
Hence next number will be 11³ = 1331
1331 = 1000 + 100 + 100 + 100 + 10 + 10 + 10 + 1
1331 = MCCCXXXI
Logic is Tₙ = (2n+1)³ in Roman Numbers
Next number in sequence will be MCCCXXXI
option A is correct
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