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Name Date Explicit Expressions and Recursive Processes Independent Practice WorksheetComplete all the problems. 1. Write a recursive formula for the following sequences. 2, 5, 26, 677 2. Given the.

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This guide provides clear instructions on how to complete the Explicit Expressions And Recursive Processes Independent Practice Worksheet online. By following these steps, you will be able to fill out the worksheet efficiently and effectively.

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  1. Click ‘Get Form’ button to obtain the worksheet and open it in your preferred online editor.
  2. Begin with the title section at the top of the worksheet. Enter your name where indicated to properly identify your work.
  3. Next, fill in the date next to the corresponding label to document when the worksheet was completed.
  4. Proceed to the first problem. Write a recursive formula for the given sequence of numbers (2, 5, 26, 677). Carefully analyze the pattern to formulate your response.
  5. Move to the second problem. Given the recursive formula, apply your understanding to write the explicit formula for the sequence provided.
  6. Continue to the third problem. Construct an explicit formula for the sequence (20, 24, 28, 32, 36). Be mindful of the numerical patterns.
  7. For the fourth problem, write the explicit formula for the sequence (3, 7, 11, 15, 19). Ensure your calculations are accurate.
  8. In the subsequent problem, given the explicit formula, write the recursive formula for the sequence represented by Tn = 2n - 1.
  9. Additionally, for the next task, convert the given recursive formula into an explicit formula for the sequence using t1 = 0 and tn = tn-1 - 5.
  10. Complete the next problems by following similar steps: write recursive formulas or explicit formulas as instructed for the sequences provided.
  11. Finally, review your work for accuracy and completeness. Once satisfied, save your changes, and choose to download, print, or share the completed worksheet as necessary.

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An explicit formula for a sequence allows you to find the value of any term in the sequence. The natural numbers are a subset of the integers: {1,2,3,4,5....} A recursive formula for a sequence allows you to find the value of the nth term in the sequence if you know the value of the (n-1)th term in the sequence.

The recursive rule represents a geometric sequence with first term a1 = 10 and common ratio r = 2. Substitute 10 for a1 and 2 for r. An explicit rule for the sequence is an = 10(2)n − 1.

They are two different ways to find a number in a sequence. They should be defined in the arithmetic sequence video. Explicit allows you to jump in anywhere in the sequence and is more powerful but complicated, while recursive is simpler but you can only go one term at a time.

As mentioned, an explicit formula is a formula we can use to find the nth term of a sequence. In the easiest definition, explicit means exact or definite. The formula is explicit because as long as it's applied correctly, the nth term can be determined.

Example of Arithmetic Sequence Explicit Formula The first term of an arithmetic sequence is represented by a1 or a = -3. Applying the formula for the nth term, the arithmetic series explicit formula is an = a + (n - 1)d = -3 + (n - 1)(-3) = -3n + 3 - 3 = -3n, or an = -3n.

In mathematical words, the explicit formula of an arithmetic sequence is designated to the nth term of the sequence. A sequence such as 1, 5, 9, 13, 17 or 12, 7, 2, –3, –8, –13, –18 which has a constant difference between terms. The first term is called a1, the common difference is d, and the number of terms is n.

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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