CBSE Class 10 Answered
ARITHMATIC PROGRESSION
Asked by chahat | 11 Mar, 2009, 12:36: AM
Expert Answer
the three digit numbers which are divisible by 9 start with 108 and end with 999.
These numbers obviously are such that there is a gap of 9 between the consecutive numbers.
So, these numbers form an A.P.
So, basically we have to find the sum of the A.P.
108+117+126+...+999
let 999 be the nth term
first term =a=108, d=9
so ,999=a+(n-1)d
so,
999=108+9(n-1)
891=9(n-1)
n-1=99
so n=100
required sum=
n/2[a+l} where l is the last term of the A.P.
=100/2[108+999]
50*[1107]
multiply these two numbers and you will have the answer.
Answered by | 11 Mar, 2009, 09:30: AM
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