Telescoping Series 1 – Find The Next Term
Consider the following pattern:
1 × 2 1 2 × 3 1 3 × 4 1 ⋮ = 1 1 − 2 1 = 2 1 − 3 1 = 3 1 − 4 1
Following the pattern above, if 4 × 5 1 = a 1 − b 1 , what are the values of a and b ?
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6 solutions
a=4 and b=5
Answer is "4"
a=4 and b=5 by seeing the pattern easily.the nos multiplying are the subtracted.
nice to solve.
LCM
a=4 and b=5
a=4 and b=5
a=4 and b=5
a=4 , b=5
it was eassy
easy
a=4 &b=5
a=4 and b=5
a=4 and b=5
sooooooo easy
1/4*5 1/4 -1/5 s0 a=4 b=5
a=4,b=5
i enjoy to solve
it's easy. a=4, b=5
same style
normal lcm
i solved it
I really enjoyed solving it!!!!
intesting one
the following equation can apply 1/(n*(n+1))=(1/n)-(1/n+1)
listen the resultin fraction is positive therefore a has to be 4 as 1/4 is bigger than 1/5 and if a was 5 the result woould be negative
I solve problem by assuming 4=n and apply {1/(n*(n+1))=(1/n)-(1/n+1)} this equation. a=4 and b=5
Since numerator is 1 and denominators are 4 and 5 ,therefore 1/4X5 will be 1/4 - 1/5 and a =4 and b=5 Ans
K.K.GARG,India
The theory is 1/n(n+1)=1/n-1/(n=1) if you want the value of a and b it will be a= 4 and b= 5
In general, n ( n + 1 ) 1 = n 1 − n + 1 1 . Thus, 1 / 2 0 = 1 / 4 − 1 / 5 .