Question

Describe the following pattern :1;2;4;7;11;16​

Answer 1

See below ~

Explanation:

The pattern that can be seen here is that each consecutive term increases 1 more than the value the previous term was increased by.

As we can see here :

1 + 1 = 2

2 + 2 = 4

4 + 3 = 7

7 + 4 = 11

11 + 5 = 16

Let the unknown term be aₙ the term that precedes it be aₙ₋₁, and the common difference of the previous term dₙ₋₁. Then the rule here would be :

aₙ = aₙ₋₁ + (dₙ₋₁ + 1)