Question

What are the next two terms in the​ sequence?
2​, 14​, 26​, 38​, ...

Answer 1

50, 62

Explanation:

`a(1)=2\\\\a(2)=a(1)+12=2+12=14\\\\a(3)=a(2)+12=14+12=26\\\\a(4)=a(3)+12=26+12=38\\\\a(5)=a(4)+12=38+12=50\\\\a(5)=a(5)+12=50+12=62`

If you want the formula.

It's an arithmetic sequence with the first term 2 and common difference 12.

The explicit formula of an arithmetic sequence:

`a(n)=a(1)+(n-1)d`

d - common difference

Substitute:

`a(n)=2+(n-1)(12)` use the distributive property

`a(n)=2+12n-12`

`a(n)=12n-10`

Answer 2

50, 62

The drawing will help