document.write( "Question 84236: I have a graph with numbers 10,30,60,100,150,210,280,360 and so on. I am having trouble finding the correct fomular for this problem.
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document.write( "thank you for your help
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Algebra.Com's Answer #60659 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! I have a graph with numbers 10,30,60,100,150,210,280,360 and so on. I am having trouble finding the correct fomular for this problem. \n" ); document.write( "thank you for your help \n" ); document.write( "WHAT DO YOU WANT? \n" ); document.write( "FORMULA FOR N TH. TERM???ASSUMING SO ......NOTE THE FOLLOWING \n" ); document.write( "A2-A1=30-10=20 \n" ); document.write( "A3-A2=60-30=30 \n" ); document.write( "A4-A3=100-60=40 \n" ); document.write( "A5-A4=150-100=50 \n" ); document.write( "A6-A5=210-150=60 \n" ); document.write( "A7-A6=280-210=70 \n" ); document.write( "A8-A7=360-280=80 \n" ); document.write( ".............. \n" ); document.write( "WE ARE HAVING A.P. ON RHS 20,30,40,50...ETC..WITH D=10...TN=20+(N-1)*10=10N+10=10(N+1)...HENCE...TN-1=10(N-1+1)=10N\r \n" ); document.write( "\n" ); document.write( "AN-A(N-1)=10N.........CHECK ABOVE PUTTING N=2,3,4 ETC.... \n" ); document.write( "------------------------ADDING ALL \n" ); document.write( "AN-A1=20+30+................10N \n" ); document.write( "AN-10=(N-1)[20+10N]/2=5(N-1)(N+2) \n" ); document.write( "AN=10+5(N-1)(N+2) \n" ); document.write( "CHECK \n" ); document.write( "N=1.......A1=10 \n" ); document.write( "N=2.......A2=10+5*4=30 \n" ); document.write( "N=3.......A3=10+5*2*5=60 \n" ); document.write( "N=4.......A4=10+5*3*6=100..... \n" ); document.write( "......ETC....OK \n" ); document.write( " |