4 + 44 + 444 + ............ ধারাটির n-সংখ্যক পদের যোগফল নির্ণয় কর।

A (10/9) (10n - 1) - (1/9)n

B (20/81) (10n - 1 - 1) - (4/9)n

C (10/27)(10n - 1) - (2/9)n

D (40/81)(10n - 1) - (4/9)n

Solution

Correct Answer: Option D

a + aa + aaa + …………… n সংখ্যক পদের যোগফল
S = (a/9){(10/9)(10n-1) - n}
   = (4/9){(10/9)(10n - 1) - n
   = (40/81)(10n-1) - (4/9)n

Practice More Questions on Our App!

Download our app for free and access thousands of MCQ questions with detailed solutions