What is the sum of the first 100 consecutive positive integers?

Question

I need to know like first what they are, I don't really need the sum, I just need to know the first 100.

But what is a CONSECUTIVE POSITIVE integer? Not just an integer...

Ok, so what do I do? add 1-100 like 1+2+3+4+5.. etc, or do I do 3+98 and stuff? I'm really confused...

Answer 1

simply add the numbers 1 through 100

if you realize that 1 + 100 = 101, 2 + 99 = 101, 3 + 98 = 101, etc. until 50 + 51 = 101, then the math is simple: it is 101 times the number of times you did that (50). thus the answer is 101 * 50 = 5050

Answer 2

what you want is 1+2+3+4+...+99+100

to make thinks simpler let's compute 1+2+3+4+5+6+7+8+9+10
and we will generalize afterward

Lets just count them
0
1 X
2 XX
3 XXX
4 XXXX
5 XXXXX
6 XXXXX Y
7 XXXXX YY
8 XXXXX YYY
9 XXXXX YYYY
10 XXXXX YYYYY

If I take the triangle made of Ys and I rotate it to fill the gap above 1,2,3.., I get

0 YYYYY
1 X YYYY
2 XX YYY
3 XXX YY
4 XXXX Y
5 XXXXX
6 XXXXX
7 XXXXX
8 XXXXX
9 XXXXX
10 XXXXX

which is a nice rectangle of 11 time 5 = 55

We can now generalize: to calculate the sum 1+2+3+4+5+..N
the formula is (N+1)*(N/2)

with N= 10 we get (10+1)*(10/2)=11*5=55
with N=100 we get (100+1)*(100/2)=101*50=5050

Answer 3

So: S = 2 + 4 + 6... + 2 hundred S = 1n + 2n + 3n... + 100n (n = 2) T = a million + 2 + 3... + 100 T = 1n + 2n + 3n... + 100n (n = a million) we may be able to work out, with out even looking the sums, that S is two cases the quantity of T So S is 100% more desirable than T.

Answer 4

5050.

An integer is any whole number.

So, what are the first 100 positive whole numbers? Think about it.

Answer 5

5050...just add 1 through 100!

Answer 6

1-100
5050

Answer 7

5050.

no joke.

Answer 8

$1.89