Question

(a) The illustration below shows the first 3 figures in a sequence, made using toothpicks.
(i) How many toothpicks would be needed to make the 100th figure in this sequence? (Explain your answer by referring to patterns in the figures, and by using patterns in a table of values.)
(ii) Describe a procedure for using the figure number to find the number of toothpicks in any figure in the sequence.



(b) The illustration below shows the first 3 figures in a sequence, made using toothpicks.
(i) How many one-by-one squares will there be in the 100th figure in this sequence? (Explain your answer by referring to patterns in the figures, and by using patterns in a table of values.)
(ii) Describe a procedure for using the figure number to find the number of one-by-one squares in any figure in the sequence.
(iii) How many toothpicks will there be in the 100th figure in this sequence? (Explain your answer by referring to patterns in the figures, and by using patterns in a table of values.)
(iv) Describe a procedure for using the figure number to find the number of toothpicks in any figure in the sequence.

Answer 1

Connections Academy?

Answer 2

I don't know how to solve the B. I already know that A. is 3N+1