SECTIONC. 1. Study the pattern below and then answer the questions that follow: 3 2 a) What must you do in order to draw the next diagram in the pattern? Add 3 (2) b) Copy the table and fill in the number of dots needed to make the first four diagrams: (4) 1 2. 3 4 5 7 122 Dielder 2 NA 10113161135140130 (2) (3) c) Write a rule to calculate the number of dots needed for any diagram number. d) Use your rule to fill in the number of dots used to make diagrams 5, 7 and 12. Show all your working. e) Now use your rule to calculate which diagram number in the sequence will need 130 dots to form the circle. Write down the rule to get from each input to each output number: (2) 2 4 6 8 10 at dutput number 5 9 13 17 21 (3) ​