Algebra I



Common Core Math 1

Day 1 – Class Notes - Geometric Sequences Review

Arithmetic Sequence (pattern is__________) vs Geometric Sequence (pattern is__________)

NEXT= starting at NEXT= starting at

y = _________________________________ y = _________________________________

I. Review

1)

|x |0 |1 |2 |3 |4 |

|y |72 |36 |18 |9 |4.5 |

|x |0 |1 |2 |3 |4 |

|y |3 |15 |75 |375 |1875 |

(a) NEXT= starting at (a) NEXT= starting at

(b) (b)

Type: Type:

of function of function

(c) [pic] (c) [pic]

(d) Find y if [pic]. (d) Find y if [pic].

(e) Type of Sequence: (e) Type of Sequence:

II. Practice

3) 4)

|x |0 |1 |2 |3 |4 |

|y |2 |10 |50 |250 |1250 |

|x |0 |1 |2 |3 |4 |

|y |100 |75 |56.25 |42.1875 |31.64… |

(a) NEXT= starting at (a) NEXT= starting at

(b) (b)

Type: Type:

of function of function

(c) [pic] (c) [pic]

(d) Find y if [pic]. (d) Find y if [pic].

(e) Type of Sequence: (e) Type of Sequence:

III. Translate to sequence vocabulary AJDUST FOR STARTING WITH x = 1 instead of x = 0.

1) The sequence 10, 20, 40, 80… 2) The sequence 30, 15, 7.5, …

(a) NEXT= starting at (a) NEXT= starting at

(b) Type of function: (b) Type of function:

(c) [pic] (c) [pic]

(f) Type of Sequence: (f) Type of Sequence:

(e) Find the 12th term (e) Find the 8th term

3) The sequence 7, 21, 63, 189

(a) NEXT= starting at

(b) Type of function:

(c) [pic]

(f) Type of Sequence:

(e) 137781 is the _____ term of the sequence

IV. Practice and Extend

1) The sequence of 6250, 1250, 250, 50… 2) The sequence of 50, 150, 450, 1350

(a) NEXT= starting at (a) NEXT= starting at

(b) Type of function: (b) Type of function:

(c) [pic] (c) [pic]

(f) Type of Sequence: (f) Type of Sequence:

(e) Find the 7th term_________________ (e) 36,450 is the ___ term of the sequence

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