Question

{1},{2,3,4,},{5,6,7,8,9} find the sum of all numbers in 25th bracket

Answer 1

Given :  {1},{2,3,4,},{5,6,7,8,9}

To Find :  sum of all numbers in 25th bracket

Solution:

1st bracket has 1

2nd bracket has 3

3rd bracket has 5

Hence nth bracket has = 2n-1  elements

25th bracket has   2*25-1  = 49 elements

Elements in 1st 24 bracket

1 +3 + 5 +....................................+ 45 + 47

a = 1

d =2

n = 24

Sn= (24/2)(1 + 47)  =  576

25th Bracket

start with

576   and has  49 elements

Hence from 576  to 624

Sum  = (49/2)(576 + 624)

= 29400

29400 is the sum of all numbers in 25th bracket

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