Use the sequence below and inductive reasoning to make a conjecture. 17. What is the color of the thirtieth figure? 18. What is the shape of the fortieth figure?Draw the next Figure in each sequence. 15. 14.)Use the sequence and inductive reasoning to make a conjecture. 7. What is the 12th figure in the sequence? 8. What are the coordinates of the point in the 8th figure in the sequence? y . (2.5 ) (-2, 5) (2, -5)Make a conjecture for each scenario. Show your work. 9. The sum of the first 100 even numbers To start, find the first few terms of the sequence and look for a pattern 2=2 =1x 2 2+4=6 =2 X 2+4+ =3 X 2+4+6+ x Conjecture: Sum of the first 100 even numbers = 10. The product of an even and odd number Find one counterexample to show that each conjecture is false. 11. 21 and 22 are supplementary, so one of the angles is acute. 12. AABC is a right triangle, so ZA measures 90. 13. The sum of two numbers is greater than either number. 14. The difference of two integers is less than either integer.Find a pattern for each sequences. Use inductive reasoning to show the next two terms. ( For numbers Ito 6 do the odd numbers only. 1 5 , 10 , 20, 40 ,... 2 ) 1 , 4 ,9 , 16 , 25 , ... 3 ) 1 , - 1 , 2 , - 2 , 3 , .., 5. ) 1 , 7 1 - 3 4 6.) 15 , 12 , 9, 6