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?

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Answer 1 · 2016-09-22T18:50:47

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

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

and the $10 t h$ $10th$ 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 $(3 \times 10) + 5$ $(3 xx 10) + 5$ which is $35$ $35$

The $100 t h$ $100th$ student would say $305$ $305$ $(3 \times 100) + 5$ $(3 xx 100) + 5$