Math, asked by khushpreetchohan34, 7 months ago

Find the sum of series : 7 + 77 + 777 ....... to n terms ?

Answers

Answered by paroshnee18
5

Answer:

the answer is 7/9[10(10n−1) / 9  −n] :)

Step-by-step explanation:

7 + 77 + 777 + ...till n terms  

= 7 [1 + 11 + 111 + ... till n terms]

=7/9[9 + 99 + 999 + ... till n terms]

=7/9[(10 - 1) + (100 - 1) + (1000 - 1) + ... till n terms]

=7/9[(10 + 100 + 1000 + ... till n terms ) - (1 + 1 + 1+...till n terms)]

=7/9[10(10n−1) / 10−1 −n]

=7/9[10(10n−1) / 9  −n].

PLS MRK AS BRAINLIEST PLSSSS....... :)

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