What is the sum of the numbers from 1 to 70? 1 + 2 + 3 + ………. + 80 = 3240 71 + 72 + ……….. + 80 = 755
Answers
Step-by-step explanation:
The sum of number from 1 to 70=2485
sn=n/2{2a+(n-1)d}
=35(2+69)
=2485
The sum of the numbers from 1 to 70 is 2485.
GIVEN: 1 + 2 + 3 + ………. + 80 = 3240
71 + 72 + ……….. + 80 = 755
TO FIND: Sum of the numbers from 1 to 70.
1 + 2 + 3 + ………. + 70 = ?
SOLUTION:
As we are given in the question,
Let this be Equation 1,
1 + 2 + 3 + ………. + 80 = 3240 -----Eq 1
Let the other one be Equation 2,
71 + 72 + ……….. + 80 = 755 -----Eq 2
Now,
1 + 2 + 3 + ………. + 70 = (1 + 2 + 3 + ………. + 80) - (71 + 72 + ……….. + 80 )
Now, Subtracting equation (1) & (2) .
= (1 + 2 + 3 + ………. + 80) - (71 + 72 + ……….. + 80 )
= 3240 - 755
= 2485
Therefore,
1 + 2 + 3 + ………. + 70 = 2485.
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