Question

What conjecture can you make about the sum of the first 29 positive even ​numbers?

Make a conjecture. Choose the correct answer below.
A.
The sum is equal to the number of terms squared.
B.
The sum is the product of the number of terms and the number of terms minus one.
C.
The sum is the product of the number of terms and the number of terms plus one.
D.
The sum is the product of the number of terms and two

Answer 1

An = A1 + (N-1)d
A1 is the first term (in this case 2)
d is the common difference (what is the difference between all consecutive even numbers? 2)
N is the number of terms to find (in this case 29)
An = 2 + (29-1)2 = 58
I would say none of the above, unless you typed it wrong. The sum is the product of the number of terms minus one and two, plus two more. So it's almost answer B but not really. Good luck with this one.