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# Numeric and Geometri

### Numeric and Geometric Patterns

Term | Definition |
---|---|

perimeter of circle | 2PIr |

area of parallelogram | base times height |

V of cylinder | PIr^2h |

area of circle | PIr^2 |

SA of sphere | 4PIr^2 |

V of sphere | 4/3 PIr^3 |

SA of cone | PIrs+PIr^2 |

V of cone | 1/3 PIr^2h |

SA of square pyramid | 2bs+b^2 |

V of square pyramid | 1/3 b^2h |

V of triangular prism (not equilateral) | 1/2 blh |

A of trapezoid | ((a+b)h)/2 |

What is the difference between a finite sequence and infinite sequence? | An infinite sequence never ends, a finite sequence has an end. |

What is one way to find the limit of a sequence? | A coordinate graph (graphing the sequence) |

How do you solve for problems with subscripts? (asking to find the 3rd and 12th term) | You must plug in the number(which is subscript) for n in the equation and solve (3 plugged in for n and 12 plugged in for 12) |

What is an arithmetic sequence? | When you add or subtract a certain(constant) amount to get to the next term (d- common difference, used to represent this constant number) |

What is a geometric sequence? | When you multiply or divide a certain(constant) amount to get to the next term (r- common ratio, used to represent this constant number) |

What form does arithmetic sequences follow? | a¹+d(n-1) |

What form does geometric sequences follow? | aᴺ=a¹rᴺ-¹ |

How do you find the common ratio of a sequence? | r=aᴺ/aᴺ-¹ |

How do you find the common difference of a sequence? | d=aᴺ-aᴺ-¹ |

What formula do you use to find the number of terms in a finite arithmetic sequence? | aᴺ=a¹+d(n-1) (n is the final term in aᴺ) |

When the terms of a sequence are added together, what is the sum of the terms called? | a series |

If the sequence of partial sum of an infinite series has a limit, then that limit is... | the sum of the series |

The sum of the first "n" terms of an infinite series is called a... | partial sum (of the series) |

When you are solving for sigma notation problems and they are in the form of an arithmetic sequence, then you can use the formula ... ? | sᴺ=n(a¹+aᴺ)/2 (you still have to find the first and last term before plugging it into the formula) |

When you are solving for sigma notation problems and they are in the form of a geometric sequence, then you can use the formula ... ? | S=a¹-aᴺr/1-r (aᴺ is the last term of the series) |

What is the formula and way of solving an arithmetic series? | You must use the formula aᴺ=a¹+d(n-1) to find the number of terms in the series, next you must take that number of terms and plug it into the formula: sᴺ=n(a¹+aᴺ)/2 (both the sᴺ and n are representing the number of terms which were previously found) |

Created by:
garfieldwhitebooi