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I'm trying to do a calculation where 125+20*floor(wave/10) Where Floor is (Wave/10). X Would represent Wave, being the variable. I want to find the combined values of this equation where x is equal to 1-50. EXAMPLE If x = 1 then 125+20*.1 (127) + If x = 2 then 125+20*.2 (129) For a Total of 256. I wish to find the total for all the way up to x=50

 Oct 21, 2016
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I'm trying to do a calculation where 125+20*floor(wave/10) Where Floor is (Wave/10). X Would represent Wave, being the variable. I want to find the combined values of this equation where x is equal to 1-50. EXAMPLE If x = 1 then 125+20*.1 (127) + If x = 2 then 125+20*.2 (129) For a Total of 256. I wish to find the total for all the way up to x=50

 

\(f(x)=125+20* \frac{ x}{10} \\f(x)= 125+2x\\~\\ f(1)=125+2=127\\ f(2)=125+4=129\\ ....\\ f(50)=125+2*50=225\)

 

 

You want

127+129+131+       ......   +225      OR     Term 1 up to term 50

 

This is the sum of an AP and the formula is  

 

\(S_n=\frac{n}{2}(a+L)\\ S_{50}=\frac{50}{2}(127+225)\\ S_{50}=25*(352)\\ S_{50}=8800\ \)

 Oct 21, 2016

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