how many numbers between 25 and 400 are divisible by 11? what is their sum?

- anonymous

how many numbers between 25 and 400 are divisible by 11? what is their sum?

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- anonymous

who can answer?

- amistre64

well, it starts with the number 33

- anonymous

can u pls show the equation sir???

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## More answers

- amistre64

400-25 = 375 possible results
divide that by ll
375/11 = 34.1
so ill assume there is like 34 numbers in that

- anonymous

and the sum sir?

- amistre64

there sum can be determined by the expression 33+11n
from n=0 to 34 most likely

- anonymous

wait sir... 33+11n=????

- anonymous

answer is 7480

- amistre64

34
11
--
34
34
----
374
11
----
385
11
----
396 .... found a few more

- amistre64

pfft, for got to add 33 :)
374
+33
----
407
so it looks like 34 is too large and 33 is perfect
0 to 33

- anonymous

this time i am right i double checked it

- anonymous

can i ask for the solution sir??? because the solution is greatly needed

- amistre64

33+11n i s a good expression yes since the first number divisible by 11 is 33

- anonymous

thanks sambhav

- anonymous

how to get the n sir???

- amistre64

\[\sum_{0}^{33}33+11n=\frac{33}{2}(33+374)\]

- anonymous

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

- amistre64

http://www.wolframalpha.com/input/?i=table+%2833%2B11n%29%2C+n%3D0..33

- anonymous

thanks to to all of you friends :D

- amistre64

the sum is 7293

- anonymous

why is sambhav answer is different?

- amistre64

he most likely has a small error, or i do. but ive got the wolf to dbl chk me :)
http://www.wolframalpha.com/input/?i=sum+%2833%2B11n%29%2C+n%3D0..33

- anonymous

hey @amistre64 ur formu;lla is correctbut
∑03333+11n=332(33+374) =6715.5

- amistre64

yeah, 374 should have been 396 :) but i accounted for that afterwards

- anonymous

you used another website for help
i used my mind

- amistre64

at my age, the mind is not so good ;)

- anonymous

whats the correct answer monsieurs???

- amistre64

i have to look at my left foot just to remember what color sock i need to put on the right foot :)

- anonymous

∑03333+11n=(35/2)(33+396)=7507.5

- anonymous

whats ur age
@amistre64

- amistre64

.... pretty old

- anonymous

sambhav and amistre what again is the answer???

- amistre64

7293 is what i get

- anonymous

pls wait for a minute pls sorry for the argument between us

- anonymous

its just ok no hard feelings

- amistre64

0 to 33 is 34 numbers entotal
34(33+396)/2 = 7293

- anonymous

its right tnx for all your help ive got 2 numbers to go can u cooperate me or help me sir???

- amistre64

between the both of us, we are sure to work out all the wrinkles ;)

- anonymous

@bienes_joshua the write answer is 7293

- anonymous

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

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:\[\sum_{1}^{34}33+11(n-1)\]

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