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What is the sum of the first 100 odd numbers? Start with adding the first 2, 3, 4 odd numbers.

2 Answers

6 votes

Explanation:

the sum of the first 100 odd numbers 10000

User Rdelrossi
by
5.3k points
1 vote

Answer:

The sum of the first 100 odd numbers is 10,000

Explanation:

Here, we want to find the sum of the first 100 odd numbers

Mathematically, we can use the formula for the sum of term in a sequence which is;

Sn = n/2(a + L)

where n is the number of terms

L is he last term

a is the first term

The difference between two consecutive odd numbers is 2

So:

T100 = 1 + (100-1)2

T100 = 1 + 198

T100 = 199

So;

sn = 100/2(1 + 199)

Sn = 50(200)

Sn = 10,000

User Ashallar
by
4.7k points