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HOW TO PLUS EASILY W/ BRAIN EQUATION WHO`S PEOPLE ANSWER THIS IN 5MIN HAV`NT REWARD HEHEHE USED CALCULATOR FOR FAST COMPUTE HEHEHE

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+55+56+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70+71+72+73+74+75+76+77+78+79+80+81+82+83+84+85+86+87+88+89+90+91+92+93+94+95+96+97+98+99+100+...........................................10,000


Sagot :

This is an arithmetic sequence.
[tex]S_n= \frac{(a_n+a_1)n}{2} [/tex]

But on these type of arithmetic sequences where you add all the numbers from 1 up to a certain number the formula is:
[tex]S_n=\frac{n(n+1) }{2} [/tex]

So the sum is:
[tex]S_{10,000}= \frac{10,000(10,001)}{2} =5,000*10,001=50,005,000[/tex]