IB Mathematics Applications & Interpretation Question Type 1: Finding the Nth Term Given the First Term and the Common Difference Exercises

On a bus route, the first stop is $2\text{ km}$ from the depot, and each following stop is $0.85\text{ km}$ further than the previous one. How far from the depot is the 30th stop?

Find the 10th term of the arithmetic sequence with first term $u_1=-2$ and common difference $d=4$.

Find the 15th term of the arithmetic sequence with first term $u_1=7$ and common difference $d=5$.

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

Find the 5th term of the arithmetic sequence with first term $u_1=20$ and common difference $d=-5$.

Find the 12th term of the arithmetic sequence with first term $u_1=1.5$ and common difference $d=0.75$.

Each step of a staircase increases in height by $2\text{ cm}$. If the first step is $15\text{ cm}$ high, what is the height of the 10th step?

Find the 25th term of the arithmetic sequence with first term $u_1=0$ and common difference $d=7$.

Find the 8th term of the arithmetic sequence with first term $u_1=12$ and common difference $d=-3$.

A student reads 10 pages on the first day and increases the number of pages by 5 each subsequent day. How many pages will they read on the 20th day?

A savings plan starts with $u_1=\text{£}50$ in the first month and you add £20 each month. What is the amount in the 18th month?

Find the 12th term of the arithmetic sequence with first term $u_1=100$ and common difference $d=-10$.