bienes_joshua
how many numbers between 25 and 400 are divisible by 11? what is their sum?
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bienes_joshua
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who can answer?
amistre64
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well, it starts with the number 33
bienes_joshua
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can u pls show the equation sir???
amistre64
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400-25 = 375 possible results
divide that by ll
375/11 = 34.1
so ill assume there is like 34 numbers in that
bienes_joshua
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and the sum sir?
amistre64
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there sum can be determined by the expression 33+11n
from n=0 to 34 most likely
bienes_joshua
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wait sir... 33+11n=????
sambhav__jain
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answer is 7480
amistre64
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34
11
--
34
34
----
374
11
----
385
11
----
396 .... found a few more
amistre64
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pfft, for got to add 33 :)
374
+33
----
407
so it looks like 34 is too large and 33 is perfect
0 to 33
sambhav__jain
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this time i am right i double checked it
bienes_joshua
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can i ask for the solution sir??? because the solution is greatly needed
amistre64
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33+11n i s a good expression yes since the first number divisible by 11 is 33
bienes_joshua
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thanks sambhav
bienes_joshua
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how to get the n sir???
amistre64
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\[\sum_{0}^{33}33+11n=\frac{33}{2}(33+374)\]
sambhav__jain
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a=33
l=396
d=11
n=(396-33/11)+1=35
sum=(35)(2(33)+34(11))/2 =7480
use the formula i gave u earlier
bienes_joshua
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thanks to to all of you friends :D
amistre64
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the sum is 7293
bienes_joshua
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why is sambhav answer is different?
sambhav__jain
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hey @amistre64 ur formu;lla is correctbut
∑03333+11n=332(33+374) =6715.5
amistre64
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yeah, 374 should have been 396 :) but i accounted for that afterwards
sambhav__jain
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you used another website for help
i used my mind
amistre64
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at my age, the mind is not so good ;)
bienes_joshua
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whats the correct answer monsieurs???
amistre64
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i have to look at my left foot just to remember what color sock i need to put on the right foot :)
sambhav__jain
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∑03333+11n=(35/2)(33+396)=7507.5
sambhav__jain
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whats ur age
@amistre64
amistre64
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.... pretty old
bienes_joshua
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sambhav and amistre what again is the answer???
amistre64
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7293 is what i get
sambhav__jain
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pls wait for a minute pls sorry for the argument between us
bienes_joshua
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its just ok no hard feelings
amistre64
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0 to 33 is 34 numbers entotal
34(33+396)/2 = 7293
bienes_joshua
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its right tnx for all your help ive got 2 numbers to go can u cooperate me or help me sir???
amistre64
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between the both of us, we are sure to work out all the wrinkles ;)
sambhav__jain
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@bienes_joshua the write answer is 7293
bienes_joshua
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much thanks of all your help i just need to finish the 2 problems i will close this question and write a new one :D
amistre64
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starting an index at 1 makes life easier on the count but adds a little bit of complexity to the expression; therefore a modification that is equal is:\[\sum_{1}^{34}33+11(n-1)\]