Question

What is the sum of all numbers from 1 to 100 ​

Answer 1

Solution :-

given numbers are 1, 2, 3, 4, _________ 100 . Since difference between each numbers is same . We can say that they are in AP .

So,

→ First number = a = 1

→ Total terms = n = 100

→ Last term = L = 100

then,

→ Sn = (n/2)[a + L]

→ Sn = (100/2)[1 + 100]

→ Sn = 50 * 101

→ Sn = 5050 (Ans.)

Shortcut :-

→ Sum of first n natural numbers = n(n + 1)/2

given that n = 100,

So,

→ Required sum = {100 * (100 + 1)}/2

→ Required sum = 50 * 101

→ Required sum = 5050 (Ans.)

Hence, the sum of all numbers from 1 to 100 is equal to 5050 .

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write the first 5 odd multiples of 7

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