1+2+3+4+5….+14+15 is equal to which number?
A. 75
B. 93
C. 100
D. 120
Sum of the series formula
The sum of 1+2+3+4+5….+15 is equal to 120
As we have the formula Sn = n/2 [a+l]
If Sn is the sum of n terms of an A.P. whose first term is “a” and the last term is “l” ,
then
Sn = n/2 [a+l]
Putting the above values
Sum of the n terms= 15/2 [1+15]
=> Sum of the n terms= 15/2 [16]
=> Sum of the n terms= 15 x [8] = 120
So, the sum of 1+2+3+4+5….+15 is 120 which is the right option
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