consider 5,10,15....what is the difference between first 20 terms and the next 20 terms
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What is the difference between the sum of the first 20 terms and the next 20 terms of the arithmetic sequence 6,10,14…?
6 , 10 , 14 , …… is the AP
1st term 6 , common diff=10–6=4
21 st term = 6+(21–1)×4=86
20 th term=86–4=82
40 th term = 6+(40–1)×4=6+39×4=
=156+6=162
sum of 21 st to 40 th term ie 20 terms
=(86+162)20/2=248×10=2480
sum of first 20 terms
=(6+82)×20/2=880
difference =2480–880=1600
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5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,105,110,115,120,125,130,135,140,145,150,155,160,165,170,175,180,185,190,195,200,205,210,215,220,225,230,235,240,245,250,255,260,265,270,275,280,285,290,295,300
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