The sum of the series: 0.5 + 0.55 + 0.555+ ..... to n terms is:

CA Foundation · Quantitative Aptitude · MTP · January 2025
The sum of the series: 0.5 + 0.55 + 0.555+ ..... to n terms is:
(A) A. 5n / 9 + 5 / 81 [1-(0.1) n ]
(B) B. 5n / 9 - 5 / 81 [1-(0.1) n ]
(C) C. 5n / 9 - 5 / 81 [1+(0.1) n ]
(D) D. 5n / 9 + 5 / 81 [1 + (0.1) n ]

Suggested Answer and Working Notes:

Correct Answer: Option (B)

B. 5n / 9 - 5 / 81 [1-(0.1) n ]

Topics: Part-A: Business Mathematics

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