Sequences Review

Arithmetic Sequences

100

What is the formula for an Arithmetic Sequence?

a_n = a₁ + (n - 1)d

200

Write an explicit formula for the following sequence:
-24, -20, -16, ...

T_n=4n-28

300

What are the first four terms of the following sequence?
T₁=12
T_n=T_n-1 + (-23)

12, -11, -34, -57

Geometric Sequences

100

What is the formula for a geometric series? What are the first four terms of the following sequence? Tn=3*(-1/3)^n-1

a_n = a₁ r^n-1 3, -1, (1/3), (-1/9)

200

Write a recursive formula for the following sequence: 8, -4, 2, -1, ...

T1=8 Tn=(-1/2)*Tn-1

300

What is the 17th term of the following sequence? 65, 45.5, 31.85, 22.295, ...

0.22

400

What is the equation to find the 89^th term of this sequence?

3, 15, 75, 375

3*5^89-1