Answered

a famous story involves carl friedrich gauss misbehaving at school. as punishment, his teacher assigned him the task of adding the first 100 integers. the legend is that young gauss answered correctly within seconds. what is the answer and how do you think he was able to find the sum so quickly?​

Sagot :

Estrellauy43viz

Answer:

The answer is 5050.

He uses Arithmetic Series.

Step-by-step explanation:

Arithmetic sequence = n/2 (a1 + an)

Where n is total Number of terms

a1 is the lowest number in the number of terms

and an is the highest number in the number of terms

n = 100

a1 = 1

an = 100

Sn = 100/2 (1 + 100)

= 50 (101)

Sn = 5050

-Senku