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

what is 30 minutes from 3:14?
What is the largest object in our solar system? A. Saturn B. The Sun C. An asteroid D. Jupiter
Karl Marx is not the founder of conflict theory. a. True b. False
help me please???????????????????
In what year did Russia become known as the Soviet Union? A. 1917 B. 1922 C. 1933 D. 1945
Specific words or phrases that represent the required skills, knowledge, and capabilities for a position defines _____.
match Henry viii's wives to their children
Which of the following can be found in Thailand? a. ebony forests c. Khorat Plateau b. rainforests d. all of the above
What happens to the kinetic energy of a snowball as it rolls and gains mass.
Is 52 is 130% of a number, is the number greater or less than 52 explain