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Posted on Jul 01, 2011
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Find the sum of all integer multiples of 8 between 33 and 3051.

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  • Posted on Sep 05, 2011
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Joined: Sep 05, 2011
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This sum is equal to 40+48+56+64+72+...+3024+3032+3040+3048= 40+(48+3048)+(56+3040)+(64+3032)+(72+3024)...
There are (3048-40)/8+1=377 terms in sum. (48+3048)=(56+3040)=(64+3032)=(72+3024)=3096 and there are (377-1)/2=188 pairs whose sum is 3096. Only term that is not in such pair is 40.
Finally sum is 40+188*3096=582088.

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Related Questions:

0helpful
1answer

Find the smallest two consecutive even integers such that three times the smaller is at least 19 more than the sum of the two integers

Let x be the smallest number.
Let x + 2 be the other number (consecutive even integer)

Now to translate the rest;)
three times the smaller 3(x)
19 more -19
sum of the two integers - (x) +( x+2)

Pulling it together,
3x -19 = x + x +2
collect like terms
3x - 19 = 2x + 2
Put all the constants on one side by adding 19 to both sides.
3x - 19 +19= 2x + 2 + 19
3x = 2x +21
Subtract 2x from both sides to have all the x's on one side.
3x - 2x = 2x +21 - 2x
x = 21
The other number is 21 + 2, or 23
Check:three times the smaller = 3 x 21 = 63
sum of the two integers = 21 + 23 or 44
is 63 at least 19 more than 44






0helpful
1answer

One integer is four more than another integer. The

15 and 11.

If this is homework, be sure to show your work.
0helpful
1answer

Sum of consecutive positive integers

Here's a simple (and inefficient) 35s program. It simply goes through a loop 25 times, adding up the numbers.

A001 LBL A
A002 25
A003 STO A
A004 0
A005 RCL+ A
A006 DSE A
A007 GTO A005

The sum of the first N positive integers can be calculated more efficiently as N(N+1)/2 .
1helpful
1answer

Write a program to sum of all even integer numbers

#include <iostream>
using namespace std;
int main ()
{
int num = 0, i = 1, sum = 0;
cout << "Enter a positive integer: ";
cin >> num;
while (i <= num)
{
sum += i;
i++;
}
cout << "The sum is " << sum << endl;
return 0;
}
0helpful
1answer

What are the three consecutive integers whose sum is 378?

Let X be the lowest of the 3 integers
The sum of the 3 integers can be represented as X + (X+1) + (X+2).
Set this sum equal to 378 and solve for X.
X + (X+1) + (X+2) = 378
3X + 3 = 378
3X = 375
X = 125
Since X is the lowest of the 3 integers the other 2 will be X+1 and X+2 or 126 and 127.

Therefore, the answer is 125, 126 and 127
0helpful
1answer

Pls. help me

Q.2#  Dim n, sum as Double
Dim i as Integer
n=100
sum=0

for i=1 to n
sum=sum+1/n
next i

Q.3#  Dim sum as Double
sum=0
for i=1 to 99
if i%2 <> 0 then sum=sum+i end if
next i
0helpful
1answer

Sumproduct or conditional sumif with multiple criteria in vba code...

i'll just reply to your conditional sumif query.

yes, you can do multiple criteria query but with a matrix formula. you may look it up. nonetheless, here is how one would look like:

{=sum(if(range1=A x range2=B x range3=C, sum range))} note that x (multiplication) is used to denote intersection of the criteria

initially, you'll enter it as:
=sum(if(range1=A x range2=B x range3=C, sum range))

then, edit the cell (F2) and press ctrl+shift+enter for the brackets { } to appear.

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