Answer:
2550
Step-by-step explanation:
2 + 4 + 6 + ……… + 98 + 100
= (2×1) +(2×2) + (2×3) + ……… + (2×50)
= 2 × (1 + 2 + 3 + ………. + 50)
The sum (S) of n natural numbers is given by -
S = (n × (n + 1) )/2
Therefore,
2 × (1 + 2 + 3 + ……… + 50)
= 2 × ((50 × 51)/2)
= 2 × (2550/2)
= 2 × 1275
= 2550
Hope this helps!
