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- Is there any difference between a sequence and a series?

- Find the sum of the first $10$ terms of the arithmetic series $1+2+3+4+\cdots$

- Find the sum of the first $13$ terms of the series $1+(-1)+(-3)+(-5)+\cdots$

- Find the sum of the first $20$ terms of the series $1+\frac{3}{2}+2+\frac{5}{2}+\cdots$

- Which of the following is the correct formula for the sum of the first $n$ terms of the series $1+3+5+7+\cdots$?

- How many terms of the series $-3+7+17+27+\cdots$ need to be taken to obtain a sum of $1840$?

- If the sum of the first $15$ terms of the series $3+(3+d)+(3+2d)+(3+3d)+\cdots$ is $-240$, determine the value of $d$.

- In a competition, the first prize winner takes $\$5,000$, the second winner receives, $\$4,500$, the third winner receives
$\$4,000$, and so on. What is the total amount that was paid out to all the winners?

- A sum of $\$45,000$ was paid out to all the winners of a maths competition. If the first prize winner
got $\$7000$ and each successive winner received $\$500$ less than the previous, how many winners were there?

- In terms of $a$, the sum of the first $17$ terms of the series $a+2a+3a+4a+\cdots$ is?