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?

Question

14681 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-22T18:50:47

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

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 $305$ $(3 xx 100) + 5$