The teacher gave this pattern to the class: the first term is 5 and the rule is add 4, subtract 1. Each student says one number. The first student says 5. Victor is tenth in line. What number should Victor say?

1 Answer
Sep 22, 2016

Answer:

Each student says the number that is #3# above the previous answer.

Explanation:

If the the first term is #5#, then the first student will say #8#.
Student #2# : #11#
3 4 5 6 7 8 9
14 17 20 23 26 29 32

and the #10th# student, Victor, will say 35

There is a simpler way that works with even larger numbers far faster.

Take "n" to be the number in line the student is.
The students number is 3n + 5

Victor would say #(3 xx 10) + 5# which is #35#

The #100th# student would say #305# #(3 xx 100) + 5#