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7,77,777,7777,77777,777777....
Find last 3 digits of sum of first 26 terms.
Read Solution (Total 9)
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- at unit digit 7 would be coming 26 timing
so, 26*7=182., 2 at unit place
then 25*7=175+ (18 carry)=193
then 24*7=187
therefore answer is 732.,
- 10 years agoHelpfull: Yes(32) No(2)
- 7, 77, 777, 7777 ….to 26 terms.
Sn=7+77+777+7777+……+to 26 terms
=(7)[1+11+111+……+ to 26 terms]
= (7/9) [(10-1) + (100-1) + (1000-1) +……...+ to n term]
= (7/9) [10+100+1000+……... n terms – (1+1+1+1+…… n terms)
= (7/9) [10+100+1000+………n terms –n] - 10 years agoHelpfull: Yes(6) No(0)
- 7*26=182 so last digit is 2
7*25+18=193 so 2nd digit is 3
7*24+19=187 so 3rd digit is 7
ans 732 - 10 years agoHelpfull: Yes(5) No(0)
- Ans is 732
777*24+77+7=18732 - 10 years agoHelpfull: Yes(2) No(1)
- Ans is 732
- 10 years agoHelpfull: Yes(0) No(0)
- what formula have you used to get ans:732??
- 10 years agoHelpfull: Yes(0) No(0)
- unit digit : 2
tens digit : 3
hundreds digit:7 - 10 years agoHelpfull: Yes(0) No(0)
- 777
77
7
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861 - 10 years agoHelpfull: Yes(0) No(0)
- 7777
777
77
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247 - 8 years agoHelpfull: Yes(0) No(1)
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