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​

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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

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