benhaughton103 benhaughton103

21-12-2020
Mathematics

contestada

How many terms of the arithmetic sequence {-4,-2, 0, ....} will give a sum of 500?
a. 25
b. 20
c. 50
d. 10

Respuesta :

kenlingdad kenlingdad

30-12-2020

Answer:

a. 25

Step-by-step explanation:

Sₙ = n/2 * (2 * a₁ + (n-1) * d)

Sₙ = 500 a₁ = -4 d = 2

500 = n/2 * (-8 + (n-1) * 2) = n/2 * (-8 + 2n - 2) = n/2 * (2n - 10) = n² -5n

n² - 5n -500 = 0

(n - 25) (n + 20) = 0

n > 0

n = 25

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