Question

I need help with problem a

Answer 1

a_n = a_(n-1) + 3 where a_1 = 2

a_7 = 20

Explanation:

here a_n is denoting the number of hexagons that show up in the diagram.

starting with a_1 = 2

a_2 = a_1 + 3 = 2 + 3 = 5

a_3 = a_2 + 3 = 5 + 3 = 8

a_4 = a_3 + 3 = 8 + 3 = 11

a_5 = a_4 + 3 = 11 + 3 = 14

a_6 = a_5 + 3 = 14 + 3 = 17

a_7 = a_6 + 3 = 17 + 3 = 20