Plz expain how to solve dis...
25 .   T h e   s e t s   S 1 , S 2 , S 3 . . . . . . . .   a r e   g i v e n   b y S 1 = 2 1   , S 2 = 3 2 , 5 2 , S 3 = 4 7 , 7 3 ' 10 3 ,   S 4 = 5 4 , 9 4 , 13 4 , 17 4 , . . . . . . . t h e n   t h e   s u m   o f   t h e   n u m b e r s   i n   t h e   s e t   S 25   i s 1 )   322 2 )   324 3 )   325 4 )   326
 

Dear student
As we observe that the suffix of the set represents the number of elements in that set.Example:In S2, suffix is S2.So, S2 contains two elements.and the common difference between each term emement is 1So, S25=2625,5125,7625,...,62625Clearly,it is an AP with first term,a=2625 and d=5125-2625=1So, Sum of elements of S25=25222625+(25-1)1    Sum of n terms of AP=n22a+(n-1)d=2525225+24=252×52+60025=6522=326Sum of elements of S25=326
Regards

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Try to analyse the question, you will find the trend followed by the series. That is the key for this question. See my solution .hope this helps

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