rnayzghi rnayzghi
  • 16-12-2020
  • Mathematics
contestada


Find the sum of the arithmetic series
3+8+13+..+438

Respuesta :

masbrosur
masbrosur masbrosur
  • 16-12-2020

Answer:

19404

Step-by-step explanation:

sum of arithmetic series is

Sn = n/2 (2a + (n-1)d)

or

Sn = n/2 (a + an)

a = 1st unit

an = last unit

d = difference

8-3 or 13-8 so d = 5

then first step is to find the value of n

an = a + (n-1)d

438 = 3 + (n-1)5

438 - 3 = 5n - 5

435 = 5n - 5

435 + 5 = 5n

440 = 5n

n = 440/5

n = 88

then we can find the sum

Sn = 88/2 (3 + 438)

S88 = 19404

Answer Link

Otras preguntas

Why are humans most likely to form communities
How can water affect the rock cycle?
What is the circumference of the circle? Use 3.14 for π r=6.4cm 20.096 cm 40.192 cm 200.96 cm 401.92 cm
what is the value of the expression? 2(-5.25)
evaluate 0.009/0.012 leavings your answer in standard form​
What is the r-value of the following data, to three decimal places
An unfertilized egg from a female Komodo dragon may develop directly into a young Komodo dragon. This is an example of
Prove the Following! Need help ASAP!
one number is 8 times a second number. Their sum is 135. Find both numbers
Where did most of the comets in the Kuiper belt come from? A. They came from the Oort cloud B. They are the remains of a planet after it exploded C. They are th