### Home > CCA2 > Chapter Ch3 > Lesson 3.1.3 > Problem3-52

3-52.

Consider the sequence $10,2,\dots$ Homework Help ✎

1. Assuming that the sequence is arithmetic with $t(1)$ as the first term, write the next four terms of the sequence and then write an equation for $t(n)$.

What's the difference between the first two terms?

Use the common difference to help generate the next four terms and the $0^{th}$ term. Where does the $0^{th}$ term become important? Since $2$ is the $2^{nd}$ term, you can check your equation with the point $(2,2)$.

2. Assuming that the sequence is geometric with $t(1)$ as the first term, write the next four terms of the sequence and then write an equation for $t(n)$.

What number did you divide by to get from term 1 to term 2?

3. Create a totally different sequence that begins $10,2,\dots$ For your sequence, write the next four terms and an equation for $t(n)$.