# data[].attributes.body
In this video, you are shown how to solve compund interest problems with a word problem and are explained the equation

# data[].attributes.attachment_link.entities[].name
Simple Interest and Compound Interest Tricks

# data[].attributes.attachment_link.title
How to Solve Compound Interest Problems - College Algebra Tips

# data[].attributes.attachment_link.description
Learn how to solve Compound Interest Problems in this College Algebra tutorial. Watch and learn now! Then take an online College Algebra course at StraighterLine for college credit. http://www.straighterline.com/college-courses/college-algebra.cfm

# data[].attributes.body
Write the equation of the line in point-slope form: f(x)=m(x-x1) +y1 , using the given information.

8. m=2/3, (-6,1)
l
V
y=2/3(x+6)+1

# data[].attributes.body
--Finding if a sequence is Arithmetic or Geometric:

1) Create a table of the terms
2) Determine if the change is a common difference or a common ratio
3) Difference= Arithmetic
Ratio: Geometric

--Find the next terms in arithmetic and geometric sequences:

Arithmetic
1) Identify the 1st and last term GIVEN.
2) Find the difference between the 2 numbers
3) divide by the difference between the first and last term number = common difference
4) Use common difference to calculate other terms

Geometric
1)Identify the first and last term GIVEN
2)Divide the 2 numbers
3) Root the number by the difference between the first and last term= common ratio
4) Use common ratio to calculate other terms

Graphing  Compound Interest:

1) Plug in rate, principle, and time into equation ( see formulas) and  solve for several times in a graph.
2) Graph points from graph

Creating a Point Slope equation with 2 points:

1) Find slope (linear) by using avg. rate of change equation or find common ratio between both
2) Pick one of the 2 points along with rate of change and plug in equation (see formula) and simplify

# data[].attributes.body
In this video, it is explained how to write summation notation to find the sum of a certain number of terms and how to solve.

# data[].attributes.attachment_link.title
4.2 Summation Formulas and Sigma Notation

# data[].attributes.attachment_link.description
http://www.rootmath.org | Calculus 1 We derive a summation formula, learn a few more, and review sigma notation.

# data[].attributes.body
Find the recursive equation with this explicit equation:

f(n)=2x-1

1=>1
2=>3
3=>5

f(n)=f(n-1)+2

# data[].attributes.body
Recursive:
f(n)=f(n-1) ____ <--(change)
f(1)=____

Explicit:
f(n)=_______n________

Point-Slope:
(Exponential) -- f(x)=r^(x-x1) x y1

(Linear)-- f(x)=m(x-x1) +y1

Compound Interest--
(Increasing) A=P(r+1)^t
(Decreasing)-- A=P(1-r)^t

# data[].attributes.body
Recursive Equation: Used to get the next term in a sequence (see formula)

Explicit Equation: An equation that allows you to look at any given term in a sequence (see formulas)

Geometric Sequence: When you multiply by a common ratio each term. Graph line curves.

Arithmetic Sequence: When you add a common difference each term. Graph line is straight

Summation Notation:
Notation used for adding a sequence. Uses a Sigma to represent sum

Point Slope Equation: An equation that can be found with only using two points on a graph (see formulas)

Compound Interest: When the interest rate is applied to the original principal and any accumulated interest (see formulas)