What is the sum of first n even natural numbers
Asked by admin @ in Math viewed by 260 People
Write the sum of first n even natural numbers.
Asked by admin @ in Math viewed by 260 People
Write the sum of first n even natural numbers.
Answered by admin @
Answer:
Step-by-step explanation:
Given :
First n even natural numbers are 2,4 ,6 ,………., 2n which forms an AP.
Here, a = 2, d = 4 - 2 = 2
By using the formula ,Sum of nth terms , Sn = n/2 [2a + (n – 1) d]
Sn = n/2 [2(2) + (n -1) 2]
Sn = n/2 [4 + 2n – 2]
Sn = n/2 × 2 [2 + n – 1]
Sn = n [n + 1]
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