Final

Question 1

sequence

Answer 1

list of ordered numbers

Question 2

closed formula

Answer 2

a formula for a_n terms of n

Question 3

recursive formula:

Answer 3

has two parts:
- recurrence relation which relates a_n to previous term(s) in the sequence
- initial condition, which gives the value for the first few terms of the sequence for the recurrence relation to be useful

Question 4

arithmetic sequence

Answer 4

the difference between two consecutive terms of the sequence is constant

Question 5

Sum of the first n terms (arithmetic)

Answer 5

= n *(1st term + 2nd term)/2

Question 6

Geometric sequence

Answer 6

to get to the next term, you multiply the previous one by a fixed number, r

Question 7

Sum of the first n terms (geometric)

Answer 7

M = a_o (1-r^n)/(1-r)

Question 8

K-constant sequence

Answer 8

has the kth difference sequence constant

Question 9

Telescoping only works if:

Answer 9

a) recurrence depends only on the previous term with coefficient 1

b) can find closed formula for partial sum of non-recurrent part