Question

Look for a pattern and complete the conjecture.

10) Conjecture: The sum of the first 30 even whole numbers is​

Answer 1

390 is the answer to the problem

Answer 2

390

Explanation:

The formula of sum of arithmetic sequence is
`(n)/(2) (a+Tn)`

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 +
`T_(30)`)

`T_(30)` = 60

30/2 x ( 2 + 60 )

30/2 x (62)

1860/2

390