What is the 100th number in the sequence of 2,10,18,26?

Remark

This looks like an arithmetic series. If it is you should be able to show that the difference is a constant. It is shown like this

a_n - a_ (n - 1) = k

a2 - a1 = 10 - 2 = 8

a3 - a2 = 18 - 10 = 8

Conclusion It looks like we do have an arithmetic series.

100th number

a = 2

d = 8

n = 100

a_100 = ?

Formula

a_n = a + (n - 1) d

Solve

a_100 = 2 + (100 - 1) * 8

a_100 = 2 + 99*8

a_100 = 2 + 792

a_100 = 794