IB Mathematics Analysis and Approaches 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 $d=0$.