Answer to Question #238977 in Math for Docrta

Question

Use inductive reasoning to predict the most probable next number in te following lists. 2, 5, 10, 17, 26, (?)

Answer 1

$a_2-a_1=5-2=3$

$a_3-a_2=10-5=5$

$a_4-a_3=17-10=7$

$a_5-a_4=26-17=9$

So, the most probable $a_6=a_5+11=26+11=37.$