Respuesta :
Answer:
The sum of the first 100 odd numbers is 10,000
Step-by-step 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
Step-by-step explanation:
the sum of the first 100 odd numbers 10000