| Common Difference/Ratio | ||
| #1 | 5, 12, 19, 26, 33, 40 | d=7 |
| #2 | 24, 13, 2, -9, -20, -31 | d=-11 |
| #3 | 5, 15, 45, 135, 405, 1215 | r=3 |
| #4 | 3, -12, 48, -192, 768, -3072 | r=-4 |
| #5 | 1701, 567, 189, 63, 21, 7 | r=1/3 |
| First Five Terms from Recursive Formula | ||
| #1 | a(1)=7 a(n)=a(n-1)+6 | 7, 13, 19, 25, 31 |
| #2 | a(1)=30 a(n)=a(n-1)-9 | 30, 21, 12, 3, -6 |
| #3 | a(1)=-4 a(n)=4a(n-1) | -4, -16, -64, -256, -1024 |
| #4 | a(1)=1 a(n)=-8a(n-1) | 1, -8, 64, -512, 4096 |
| #5 | a(1)=96 a(n)=0.5a(n-1) | 96, 48, 24, 12, 6 |
| Give the Recursive Formula | ||
| #1 | -4, -2, 0, 2, 4 | a(1)=-4 a(n)=a(n-1)+2 |
| #2 | 10, 7, 4, 1, -2 | a(1)=10 a(n)=a(n-1)-3 |
| #3 | 3, 6, 12, 24, 48 | a(1)=3 a(n)=2a(n-1) |
| #4 | -2, 10, -50, 250, -1250 | a(1)=-2 a(n)=-5a(n-1) |
| #5 | 80, 40, 20, 10, 5 | a(1)=80 a(n)=1/2a(n-1) |
| Give the Explicit Formula | ||
| #1 | -7, -4, -1, 2, 5 | a(n)=-7+(n-1)(-3) |
| #2 | 5, 1, -3, -7, -11 | a(n)=5+(n-1)(-4) |
| #3 | 19, 28, 37, 46, 55 | a(n)=19+(n-1)(9) |
| #4 | -6, -1, 4, 9, 14 | a(n)=-6+(n-1)(5) |
| #5 | 8, 2, -4, -10, -16 | a(n)=8+(n-1)(-6) |
| Find the 30th term | ||
| #1 | -7, -4, -1, 2, 5 | 80 |
| #2 | 5, 1, -3, -7, -11 | -121 |
| #3 | 19, 28, 37, 46, 55 | 280 |
| #4 | -6, -1, 4, 9, 14 | 139 |
| #5 | 8, 2, -4, -10, -16 | -166 |
| Final Question | |
| 5, 5/4, 5/16, 5/64 Write the explicit formula | a(n)=5*(1/4)^(n-1) |