nextdoordog10unps nextdoordog10unps
  • 01-10-2019
  • Mathematics
contestada

look for a pattern and complete the conjecture.
10) Conjecture: The sum of the first 30 even whole numbers is​

Respuesta :

willjohnsonnguyen
willjohnsonnguyen willjohnsonnguyen
  • 01-10-2019

Answer:

390

Step-by-step explanation:

The formula of sum of arithmetic sequence is [tex]\frac{n}{2} (a+Tn)[/tex]

The number of this series are 2, 4, 6, 8, 10, 12, .  .  .  .  , 60.

The first term ( a ) = 2

The 30th even number is 60

The Tn is the term of the sequence

So the equation is

30/2 x ( 2 + [tex]T_{30}[/tex])

[tex]T_{30}[/tex] = 60

30/2 x ( 2 + 60 )

30/2 x (62)

1860/2

390

Answer Link
micheller135oycuup micheller135oycuup
  • 01-10-2019
390 is the answer to the problem
Answer Link

Otras preguntas

Which of the following correctly compares gravitational force and distance between two objects? As the distance increases, the gravitational force increases. As
Which of the following is true about films created for the purpose of art? A They are rarely embraced by subcultures because they are so different. B They ge
4. Which types of foods contain which types of macromolecules? Is one type of macromolecule healthier to eat than another? Why do you think so?
A+b A*b A-b A *divide sign* Which one isn't closed
878 kilograms to milligrams ( 8.78 E 8)
please help whoever answers all questions correct will get brainlist
When lim f(x) exists, it always equals f(a). state whether it is true or false?
Give an example of water's cohesive nature playing a role in a biological process
Solve for L: S = B + 1/2L
Vertical structural members that exterior wall sheathing and siding may be attached to are called: