# Sample quiz on arithmetic series Main home here.

1. Is there any difference between a sequence and a series?
No, sequences and series are one and the same thing
Yes, a sequence is usually more complicated than a series
Yes, a series is the sum of the terms in a sequence
Yes, a series usually contains an infinite number of terms
2. Find the sum of the first $10$ terms of the arithmetic series $1+2+3+4+\cdots$
$55$
$56$
$66$
$36$
3. Find the sum of the first $13$ terms of the series $1+(-1)+(-3)+(-5)+\cdots$
$-143$
$-134$
$134$
$143$
4. Find the sum of the first $20$ terms of the series $1+\frac{3}{2}+2+\frac{5}{2}+\cdots$
$230$
$115$
$11.5$
$23.0$
5. Which of the following is the correct formula for the sum of the first $n$ terms of the series $1+3+5+7+\cdots$?
$(n+1)^2$
$(n-1)^2$
$n^2$
$n^3$
6. How many terms of the series $-3+7+17+27+\cdots$ need to be taken to obtain a sum of $1840$?
$18$
$19$
$20$
$21$
7. 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 $d$.
$d=-2$
$d=-3$
$d=3$
$d=2$
8. 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?$\$50,000$
$\$24,750\$30,250$
$\$27,500$9. A sum of$\$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?
$21$
$20$
$19$
$18$
10. In terms of $a$, the sum of the first $17$ terms of the series $a+2a+3a+4a+\cdots$ is?
$170a$
$306a$
$135a$
$153a$