Math, asked by prakasam7987, 6 months ago

XXVII,CXXV,CCCXLIII,DCCXXIX, ??

Answers

Answered by PADMINI
3

Given :

XXVII,CXXV,CCCXLIII,DCCXXIX, ??

To Find :

The next roman numeral

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

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