SOLUTION: find the sum of the first 112 odd positive intergers. I need the correct formula to use and a little instruction on how to solve. It has been 22 years since I have done this type

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: find the sum of the first 112 odd positive intergers. I need the correct formula to use and a little instruction on how to solve. It has been 22 years since I have done this type      Log On


   



Question 21854: find the sum of the first 112 odd positive intergers. I need the correct formula to use and a little instruction on how to solve. It has been 22 years since I have done this type of math and I am now helping my little brother with his homework.
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
WE WANT 1+3+5+7+.......112 NUMBERS
THE GENERAL FORMULA FOR Tn=Nth.TERM=A+(N-1)D...WHERE A IS THE FIRST TERM =1 IN THIS CASE...N=NUMBER OF TERMS =112 IN THIS CASE....D=CONSTANT DIFFERENCE BETWEEN 2 CONSECUTIVE NUMBERS =2 HERE.
THE FORMULA FOR Sn=SUM UP TO N TERMS =(N/2){2A+(N-1)D}..WITH SAME TERMINOLOGY.HENCE
S112=(112/2){2*1+(112-1)*2}=56*(2+111*2)=56*(224)=12544