The sequence of patterns below is made of matchsticks.

a. Write the number of matchsticks in the first five patterns as a sequence of numbers.
b. Generalise by writing down the nth term of the sequence, where n is the pattern number.
c. How many matchsticks are there in the 20th pattern?
d. Explain why no pattern will have 232 matchsticks.

Transcribed Image Text:

Pattern 1 Pattern 2 7 77 Pattern 3 | / || / || /