Sequences — Quiz 3

Questions in this quiz (6)

1. On the first day of practice, Leo scored 10 points in a basketball game. On each successive day, he scored 4 more points than the previous day. After completing his practice on the 20th day, how many total points did Leo score over the 20 days?

   • 960
   • 10
   • 96
   • 76

2. The 1st term in an arithmetic sequence is $$\frac{3}{7}$$, and the 8th term is $$\frac{6}{5}$$. What is the 15th term in the sequence?

   • $$\frac{483}{245}$$
   • $$\frac{105}{245}$$
   • $$\frac{378}{245}$$
   • $$\frac{27}{245}$$

3. The 3rd and 7th terms in an arithmetic sequence are 12 and 40, respectively. What is the 50th term in the sequence?

   • 412
   • 341
   • 420
   • 423

4. If the sum of all integers from 1 to $$x$$ is 210, what is $$x$$?

   • 22
   • 20
   • 19
   • 18

5. The sum of 3 consecutive integers is $$b$$. Which of these is the first of those integers in terms of $$b$$?

   • $$\frac{b}{3}$$
   • $$\frac{b - 1}{3}$$
   • $$b - 3$$
   • $$\frac{b - 3}{3}$$

6. The first term of a geometric sequence is 6, and the second term is 30. What is the seventh term in the sequence?

   • 900
   • 220
   • 15,625
   • 93,750