Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

please help find the sum of all even integers from 2 to 100

Sagot :

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!