Question

Consider the following pattern: 5;8;11; ... ; ...

a) determine the common difference of the pattern

b) write the next two terms of the pattern

c) determine the general term

d) determined T²⁰ of the pattern ​

Answer 1

Explanation:

The common difference is 8-5 = 3

The first next term is 11 + 3 = 14

The next (second) term is 14 + 3 = 17

tn = 5 + (n - 1)*3 This is part c

t20 = 5 + (20 - 1)*3

t20 = 5 + 19*3

t20 = 5 + 57

Answer t20 = 62