Try the following questions dealing with geometric sequences and series. You'll need a calculator and a pencil & paper. The formulas are reproduced below for your convenience. When you're done, scroll way down the page to check your answers. Geometric Sequences & Series Quiz 1: In the sequence 3, 15, 75, ..., state the value of the common ratio r:   2: In the sequence  12, 6, 3, ..., state the value of the common ratio r:     3: In the sequence  4, -16, 64, ..., state the value of the common ratio r:     4: In the sequence  36, 18, 9, 4.5, ..., state the value of  n  for the term 9:     5: In the sequence  12, 3, __, 0.1875, ..., state the missing term:     6: Given the sequence defined by  tn = 4(2)n, state t3:   7: Given the sequence defined by  tn = 3(-2)n, state t5:   8: Given the sequence  3, 6, 12, ..., state the value of  t10:   9: Given the sequence  16 + 32 + 64 + ... , state S6:   10: Given the sequence  24 - 12 + 6 + ..., state S9:   Scroll way down to see the correct answers. 1: 5      2: 0.5      3: -4      4: 3      5: 0.75      6: 32      7: -96      8: 3072      9: 1008      10: 16.03 Sequences & Series