Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

What is the sum of the first 50 natural numbers?

Answer 1

1275

Explanation:

The natural numbers 1, 2, 3, 4, ...... , 49, 50

The terms of natural numbers are the terms of an arithmetic sequence.

The sum to n terms of an arithmetic sequence is

•
`S_(n)` =
`(n)/(2)`[2a + (n- 1)d ]

where a is the first term and d the common difference

here a = 1, d = 1 and n = 50, hence

`S_(50)` =
`(50)/(2)`[ 2 + (49 × 1) ]

= 25(2 + 49) = 25 × 51 = 1275

Answer 2

Answer: 1275

Explanation:

`\stackrel{50}{\sum \atop{n=1}}{\text{n}}`

First, we need to find the first term (a₁) and the last term (a₅₀)

a₁ = 1

a₅₀ = 50

Next, we need to input the information above into the Sum formula:

`S_n=(a_1+a_2)/(2)* n\\\\S_(50)=(a_1+a_(50))/(2)* 50\\\\.\quad =(1+50)/(2)* 50\\\\.\quad =(51)/(2)* 50\\\\.\quad =25.5* 50\\\\.\quad =1275`