Question

find the sum of all odd natural from 50 to 550​

Answer 1

Step-by-step explanation:

Given,

First term = 50

Last term = 550

To find = Sum of all odd numbers

Number of terms between 50 and 550 = 550 - 50 - 1

= 499

Number of odd terms = (499+1)/2

= 250

Common difference between two odd numbers = 2

Sum = 250÷2 × (2×51 + (250-1)×2)

= 125 × (102 + 498)

= 125 × 600

= 75,000

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Answer 2

Step-by-step explanation:

s= (n/2)(a+l)

a(nth)= a+(n-1)d

449= 51+(n-1)2

449-51=2n-2

398=2n-2

2n=400

n=200

so s=(200/2)51+449

s= 100×500

=50000