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NAME DATE PERIOD 77 Skills Practice Geometric Sequences as Exponential Functions Determine whether each sequence is arithmetic, geometric, or neither. Explain. 1. 7, 13, 19, 25, 2. 96, 48, 24, 12,.

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  5. Proceed to the main section of the form. Here, you will analyze several sequences to determine if they are arithmetic, geometric, or neither. Be sure to provide a brief explanation for each answer.
  6. For the geometric sequences listed, find the next three terms as instructed. Carefully follow the pattern established in each sequence.
  7. When instructed to write an equation for the nth term, ensure your expression accurately reflects the pattern of the sequence provided.
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A sequence of numbers has an exponential pattern when each successive number increases (or decreases) by the same percent.

1:25 3:49 Geometric Sequences as Exponential Functions - YouTube YouTube Start of suggested clip End of suggested clip Sequence. Well F of 1 is 5 f of 2 is going to be 5 to the two which is 25 f of 3 is going to be 5 toMoreSequence. Well F of 1 is 5 f of 2 is going to be 5 to the two which is 25 f of 3 is going to be 5 to the three which is 125 f of 4 is going to be 5 to the four which is 625.

An exponential function is defined as a function with a positive constant other than 1 raised to a variable exponent. A function is evaluated by solving at a specific input value. An exponential model can be found when the growth rate and initial value are known.

An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms.

Both have variables that are exponents, an initial value, and a constant ratio which is the base.

A geometric sequence is an exponential function. Instead of y=ax, we write an=crn where r is the common ratio and c is a constant (not the first term of the sequence, however). A recursive definition, since each term is found by multiplying the previous term by the common ratio, ak+1=ak * r.

Geometric sequence: The difference between geometric growth and exponential growth is, geometric growth is discrete (due to the fixed ratio) whereas exponential growth is continuous. With geometric growth, a fixed number is multiplied to x whereas with exponential growth, a fixed number is raised to the x.

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© Copyright 1997-2025
airSlate Legal Forms, Inc.
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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
Privacy Notice
Legal Hub
Content Takedown Policy
Bug Bounty Program
About Us
Blog
Affiliates
Contact Us
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate WorkFlow
DocHub
Instapage
Social Media
Call us now toll free:
+1 833 426 79 33
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232