1Question 1
Given $a_1 = 7$ and $d = 4$, compute $a_{15}$.
2Question 2
The sequence begins $48, 43, 38, 33, \dots$. (a) Determine the common difference. (b) Write $a_n$ in terms of $n$. (c) Find $a_{18}$.
3Question 3
If $a_5 = 32$ and $a_{11} = 68$, find $a_1$ and $d$.
4Question 4
A learner studies 30 minutes on day 1 and increases study time by 8 minutes each day. On which day will the session first reach at least 110 minutes, and what is the exact length on that day?
5Question 5
For the sequence with $a_1 = -4$ and $d = 3$, find $S_{25}$.
6Question 6
Deposits into a savings jar follow an arithmetic sequence: R120 in week 1, then each week R15 more than the previous week. How much is deposited in week 10, and what is the total saved over the first 10 weeks?
7Question 7
The total of the first $n$ terms of a sequence with $a_1 = 10$ and $d = 4$ is $384$. Determine $n$.
8Question 8
Given $a_n = 11 + 0.5(n-1)$, calculate $d$, $a_{20}$, and $S_{20}.
9Question 9
In an arithmetic sequence with $d = 6$, the sum of the 8th and 9th terms is 94. Determine $a_1$ and state $a_8$ and $a_9$.
10Question 10
A factory produces 250 units in January and increases output by 18 units each month. (a) How many units will be produced in June? (b) How many units are produced in total from January to December of the same year?