Question

Find the next term in this series: XXVII, CXXV, CCCXLIII, DCCXXIX, ??​

Answer 1

Given :

XXVII, CXXV, CCCXLIII, DCCXXIX, ??

To Find :

The next term in the the given series

Solution :

First, find the logic behind the given Roman numerals:

XXVII   = 10 + 10 + 5 + 1 + 1  = 27 = 3³

CXXV  = 100 + 10 + 10 + 5  = 125 = 5³

CCCXLIII  = 100 + 100 + 100 + 40 + 1 + 1 + 1  = 343 = 7³

DCCXXIX = 500 + 100 + 100 + 10  + 10 + 9 =  729 = 9³

We can see the given roman numerals are 3³, 5³, 7³ and 9³ hence next number will be 11³ = 1331

1331 = 1000 + 100 + 100 + 100 + 10 + 10 + 10 + 1

1331 = MCCCXXXI 

Hence, next Roman numeral in the given sequence will be MCCCXXXI