1 2 1 6 1 12 1 20 1 30
Asked by admin @ in Math viewed by 338 People
Find the sum of :
1/2 + 1/6+ 1/12+ 1/20+ 1/30 + 1/42+ 1/56 + 1/72 + 1/90 + 1/110 + 1/132
Answered by admin @
Or u may refer this.. ⬇️⬇️
It can be written as 1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+1/10*11+1/11*12
It can be further expressed as
1/1 -1/2 +1/2–1/3+1/3–1/4+1/4–1/5+1/5-1/6+1/6–1/7+1/7-1/8+1/8-1/9+1/9–1/10+1/10–1/11+1/11–1/12
Here all the terms get cancelled except the first and last one
1/1–1/12
11/12
Hope it helps.. :)
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