Question Type 1: Finding nth term given the first term and common difference Exercises

Calculate the 30th term of the sequence.

Find the 25th term of an arithmetic sequence given $u_1 = 7$ and $d = \frac{1}{2}$.

Find the 20th term of an arithmetic sequence with $u_1 = 0$ and $d = 3.5$.

Find the general formula for the $n$th term of an arithmetic sequence with $u_1 = 6$ and $d = -\frac{1}{3}$. [2 marks]

Find the 6th term of an arithmetic sequence given $u_1 = 3$ and common difference $d = 8$.

Determine the 10th term of an arithmetic sequence with $u_1 = 5$ and $d = -2$.

Determine the 8th term of an arithmetic sequence if $u_1 = 2$ and $d = \sqrt{2}$.

Calculate the 15th term of an arithmetic sequence if $u_1 = -7$ and $d = 5$.

Find the 10th term of the arithmetic sequence with first term $5$ and common difference $3$.

Find the general formula for the $n$th term of an arithmetic sequence with $u_1 = 12$ and $d = 4$.

Find the general $n$th term for an arithmetic sequence with $u_1 = 100$ and $d = -15$.

Determine the 9th term of an arithmetic sequence if $u_1 = \frac{4}{3}$ and $d = \frac{2}{3}$.

Calculate the 50th term of an arithmetic sequence if $u_1 = -2$ and $d = 0$.