+0

# Equations are given below illustrating a suspected number pattern.

0
42
1
+138

Equations are given below illustrating a suspected number pattern. Determine what the next equation would be, and verify that it is indeed a true statement.

2 = 1 X 2

2 + 6 = 2 X 4

2 + 6 + 10 = 3 X 6

A. The next equation is. It is a true statement because both the left and right sides of the equation simplify to

B. The next equation is. It is a false statement because the left side of the equation simplifies to and the right side of the equation simplifies to

cassie19  Sep 6, 2017
edited by cassie19  Sep 6, 2017
Sort:

#1
+1

2 = 1 X 2 True

2 + 6 = 2 X 4 True

2 + 6 + 10 = 3 X 6 True

2 + 6 + 10 + 14 = 4 x 8 True

2 + 6 + 10 + 14 + 18 = 5 x 10 True

2 + 6 + 10 + 14 + 18 + 22 = 6 x 12 True

2 + 6 + 10 + 14 + 18 + 22 + 26 = 7 x 14 True............etc.

Notice the pattern. The LHS is an arithmetic sequence with a common difference of 4. The RHS forms a pattern of 1, 2, 3, 4, 5........ each multiplied by its double. 1 x 2, 2 x 4, 3 x 6, 4 x 8, 5 x 10......etc.

Guest Sep 6, 2017

### 12 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details