(iv) What is the sum of first 10 natural numbers?
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27
The series of first 10 natural numbers is an arithmetic progressions with first tern as 1 and common difference 1. So the sum of the series will be Sn = n/2 { 2a+ ( n-1 ) d } where n is the number of terms in the series, a is the first term and d is the common difference.
S10= 10/2 { 2(1) + ( 10-1 ) 1 }
= 5 ( 2+9)
= 5 ( 11 )
= 55
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11
Natural Nunbers - 1,2,3,4,5,6,7,8,9,10.
Sum-
1+2+3+4+5+6+7+8+9+10= 55
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