1Question 1
Find the sum of the first 20 terms of the arithmetic sequence with $a = 5$ and $d = 3$.
2Question 2
Calculate the sum: $2 + 6 + 10 + 14 + \dots + 82$.
3Question 3
The sum of the first 15 terms of an arithmetic sequence is 450. If the first term is 10, find the common difference.
4Question 4
Given the general term $T_n = 7n - 5$, find the sum of the first 30 terms, $S_{30}$.
5Question 5
An arithmetic series has first term 4 and common difference 3. How many terms must be added to get a sum of 2,146?
6Question 6
The sum of the first and last terms of an arithmetic series is 40, and the sum of all 12 terms is 240. Find the first term and the common difference.
7Question 7
In an arithmetic sequence, $T_2 + T_3 = 0$ and $S_{36} = 1152$. Find the first three terms.
8Question 8
The sum of the first $n$ terms of an arithmetic series is given by $S_n = 2n^2 + 3n$. Find the formula for the $n$-th term, $T_n$.
9Question 9
A stadium has 20 rows of seats. The first row has 15 seats, and each subsequent row has 3 more seats than the previous row. How many seats are there in total?
10Question 10
A company's annual profit follows an arithmetic pattern. In year 1 they made R500,000, and their profit increases by R45,000 each year. (a) What will their profit be in year 10? (b) What is their total profit over the first 10 years?