find a quick and easy method to compute the sum of the first 100 counting numbers

Question

question #1 some math calculations exist #2 described at least 1 pattern or strategy #3 described a 2nd pattern or strategy

Answer 1

??????????????? kounting numbers ????????????

????????? "kompute the sum"...just sae "sum" or "add"

iz zat the positiv, nonzero intetgers...1, 2, 3,... ????????

for a sequens av integers,

last number=start numer +(n-1)*stepsize

averaej=(start number +last number)/2

sum=n*averaej

for positiv integers, start=1, stepsize=1, & tri n=12

then, last=12, averaej=(1+12)/12=6.5, sum=78

Answer 2

just half the final no and multiply it with no comes just after final,I.e 100/2=50,50*101=5050