Find the sum of the first 100 natural numbers.

ikalawangq00

ikalawangq00

Answered question

2023-01-28

Find the sum of the first 100 natural numbers.

Answer & Explanation

levaretzf35

levaretzf35

Beginner2023-01-29Added 8 answers

Find the sum of the first 100 natural numbers.
The formula to calculate the sum of n natural numbers.
S n = n 2 ( a + a n )
S n is the sum of the arithmetic sequence,
a is the first term,
d the common difference between the terms,
n is the total number of terms in the sequence and
a n is the last term of the sequence.
Here a=1
a n = 100 , n = 100 S n = 100 2 ( 1 + 100 ) S n = 100 2 × ( 101 ) S n = 50 × 101 S n = 5050
Thus, the sum of first 100 natural numbers is 5050.

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