Rose Harrison and Clara Huizink Solutions for Exercise 14: Practice 4

The first five terms of a linear sequence are $-3,4,11,18,25$. Find the ${100}^{th}$ term of the sequence.

The first five terms of a linear sequence are $-3,4,11,18,25$. Show that $102$ is a member of the sequence and find its term number.

A sequence has a formula $u_{n+1}=u_n+5$ and $u_1=1$. Find a formula for the $n^{th}$ term of the sequence.

A linear sequence has terms $u_{10}=25$ and $u_{15}=70$. Find the difference between consecutive terms.

A linear sequence has terms $u_{10}=25$ and $u_{15}=70$. Write down the value of $u_9$.

A linear sequence has terms $u_{10}=25$ and $u_{15}=70$. Write down the value of $u_1$.

A linear sequence begins with $191, 173, 155, \dots$. Find the value of the first term that is less than $65$.

A linear sequence has first term $108$ and second term $103$. Find its first negative term.