Question

Write. varible expression to describe the rule for the sequence 8,10,12,14 then find the 100th term

Answer 1

The first step would be to put in the fact that the sequence starts at 8

y = 8 + _x

The blank is going to include the difference between each number in the sequence; that is, how much it’s increasing by. To find it, get the difference between any two (consecutive!) terms.

10 - 8

12 - 10

14 - 12

All of these are equal to 2. Therefore, our gap is going to include “2”

y = 8 + 2x

To find the hundredth term, simply plug in 99 for x (the reason being that plugging in 0 for x gives us 8, but this is considered the first term. Therefore, x - 1 is the actual term)

y = 8 + 2(99)

y = 8 + 198

y = 206