IB Mathematics Analysis and Approaches Question Type 2: Finding Common Difference Given Two Terms Exercises

Given an arithmetic progression with first term $u_1=3$ and sixth term $u_6=43$, find the common difference $d$.

In an arithmetic sequence, $u_3=8$ and $u_6=17$. Find the common difference $d$.

In an arithmetic sequence, $u_4=-0.5$ and $u_{10}=2.5$. Find the common difference $d$.

Determine the common difference $d$.

In an arithmetic sequence, $u_{16}=1.2$ and $u_1=-1.8$. Calculate the common difference $d$.

In an arithmetic progression, $u_1=5$ and $u_4=11$. Find the common difference $d$. [2]

An arithmetic sequence satisfies $u_9=-3$ and $u_4=12$. Find the common difference $d$.

Given $u_2=-5$ and $u_{14}=7$ in an arithmetic sequence, find the common difference $d$.

In an arithmetic sequence, $u_{12}=30$ and $u_3=6$. Find the common difference $d$.

Given $u_5=-2$ and $u_9=10$ in an arithmetic sequence, determine the common difference $d$.

An arithmetic progression has $u_{15}=\frac{3}{4}$ and $u_6=0$. Calculate the common difference $d$.

Given $u_8=0$ and $u_{13}=-20$ in an arithmetic sequence, determine the common difference $d$.

An arithmetic sequence satisfies $u_7=20$ and $u_2=5$. Calculate the common difference $d$.