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 $d$.