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The sum of two consecutive numbers is S.The square of larger minus the square of smaller number is

(a)S power 2 (b)2S (c)S (d)S+1
please tell the question step by step and explain and also try to tell fast.



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Consider two consecutive numbers like 5 and 6
larger number is 6 and smaller is 5
their squares are 36 and 25
option is c
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Let the smaller number is Tn and larger number is Tn+1 
 given  Tn + Tn+1 = s  
 numbers are consecutive hence Tn+1 - Tn = 1
Tn+1∧2 -Tn∧2  = (Tn+1 - Tn )(Tn+1 + Tn )
                       = 1*s
                       = s
    hence  (c)  is correct
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