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Wat is d sum of all even integer between 99 and 301.
a. 40000
b. 20000
c. 40400
d.20200
Read Solution (Total 9)
-
- 100,102,104, ...296,298,300
100+300=400
102+298=400
104+296=400
.
.
198+202=400
there 50 terms of sum=400 and 200
answer is 50*400+200=20200 - 12 years agoHelpfull: Yes(24) No(0)
- 100,102,104, ...296,298,300
these are the even number ...
let there be n number of terms
t(n)=1st term + (n-1)d
300=100+(n-1)2
n=101
so sum=n(a+l)/2 where l=last term. a= 1st term.
sum=101*(100+300)/2=20200
- 12 years agoHelpfull: Yes(20) No(1)
- t(n)=a+(n-1)d
300=100+(n-1)2
n=101
sum=101*(100+300)/2=20200 - 12 years agoHelpfull: Yes(13) No(0)
- no. of terms =202
so formula is 202*(99+301)/2=40400 (ans)... - 12 years agoHelpfull: Yes(6) No(10)
- ans:20200
the first even num is:102
the last even num is :298
sum===400
the from 99 to 301 we got 50 even num
400*50=20000
the remaing 200 is left adding the one tha is=20000+200
20200 - 12 years agoHelpfull: Yes(3) No(0)
- ANS IS D 20200
- 12 years agoHelpfull: Yes(2) No(0)
- SRAVYA.. thnks fr d ansr it is correct
- 12 years agoHelpfull: Yes(0) No(0)
- 20200...
starting from 100 to 300.. total 101 terms.
use formula for the sum of AP - 12 years agoHelpfull: Yes(0) No(0)
- Answer is D
1st even no. will be 100 and the last will be 300 with a common difference of 2.
So the no of terms between 100 and 300 that are even can be fount out by
300=100+(n-1)*2 that is equal to 101.
Now applying S=n(a+l)/2 which will give S=20200
- 12 years agoHelpfull: Yes(0) No(0)
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