Sample quiz on arithmetic series
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  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?
    $170a$
    $306a$
    $135a$
    $153a$