Arithematic, Geometric and Quadratic Sequences

Question 1

How to describe a sequence?

Answer 1

• Type of sequence.
• Common difference / ratio or second difference.

Question 2

How to describe a Sequence?

Answer 2

• Type of sequence.
• Common difference / ratio or second difference.

Question 3

What is the General Rule for Arithematic Sequence?

Answer 3

u1 + (n-1)d
u1 = 1st. term
d = common difference.

Question 4

What is the General Rule for Geometric Sequence?

Answer 4

a(r)^n-1
a = 1st term.
r = common ratio.

Question 5

State General Term of Quadratic Sequence.

Answer 5

Un = an^2 + bn + c

Question 6

Quadratic Sequence.

State Equation for a.

Answer 6

second diff. /2

Question 7

Quadratic Sequence.

State Equation for b.

Answer 7

3a + b = 2nd term. - 1st term.

Question 8

Quadratic Sequence.

State Equation for c.

Answer 8

a + b + c = 1st term.

Question 9

Geometric Sequence:

State General Rule for Geometric Sequence.

Answer 9

un = a(r)^n-1

Question 10

Arithematic Sequence:

State General Term for Arithematic Sequence.

Answer 10

an = a1. + (n-1)d
a1 = 1st term.
d = difference.

Question 11

How to Find 100th term of the sequence?

Answer 11

intert n=100 into general rule.

Question 12

How to Prove that x is a part of the sequence.

Answer 12

Insert an / un = x into the equation.
Solve to see if final result is an integer.