fined the sum of even number between 0 and 100
Answers
Answer:
Between 1 to 100 , even numbers are 2,4,6,8,10,12………..98.
Clearly the above series are in A. P (arthmetic progression), so to find the numbers of terms between 2 to 98,
L = a + (n-1) ×d
L = last term
a = first term of series
n = number of terms in series
L = 98
a = 2
d = difference between two consecutive terms
d = 4–2 = 2
98 = 2+(n-1) ×2
n = 49
In A. P, sum of terms is given by the formula:
S = (first term + last term) × n / (1/2)
S= (2+98)× 49 ×1/2
S = 2450 which is our answer.
It can also be solved by direct formula of sum of n natural even numbers ( n(n+1)).
Between 2 to 98, n = 49
S = n(n+1)
S = 49×(49+1)
S= 49×50
S = 2450 , our answer
Step-by-step explanation:
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Answer:
2550
Step-by-step explanation:
even number btw 0 to 100=50