Arithmetic Sequence: Finding the First 3 Terms Using tn= t1+(n-1)d

Click For Summary

Homework Help Overview

The problem involves an arithmetic sequence where the 11th term is given as 53 and the sum of the 5th and 7th terms is 56. The goal is to find the first three terms of the sequence using the formula tn = t1 + (n-1)d.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to establish a system of equations based on the provided terms and their relationships. Questions are raised about expressing the 11th term in terms of t1 and d, as well as identifying the 5th and 7th terms.

Discussion Status

Several participants have offered hints and guidance on how to approach the problem, emphasizing the importance of formulating equations from the given information. There is an acknowledgment of the need for the original poster to show their work before receiving further assistance.

Contextual Notes

Participants reference forum rules regarding the provision of help, indicating that complete solutions should not be provided and that assistance should follow an attempt by the original poster.

Vince604
Messages
4
Reaction score
0

Homework Statement


In an arithmetic sequence, the 11th term is 53 and the sum ofof the 5th and 7th terms is 56. Find the first 3 terms of the sequence.


Homework Equations





The Attempt at a Solution



I'm trying to use the formula: tn= t1+(n-1)d but don't have right numbers. please show me step by step would be really helpful. Thanks
 
Physics news on Phys.org
Vince604 said:

Homework Statement


In an arithmetic sequence, the 11th term is 53 and the sum ofof the 5th and 7th terms is 56. Find the first 3 terms of the sequence.


Homework Equations





The Attempt at a Solution



I'm trying to use the formula: tn= t1+(n-1)d but don't have right numbers. please show me step by step would be really helpful. Thanks

What is the 11th term of the sequence, in terms of t1 and d?
What are the 5th and 7th terms?

ehild
 
This problem description has two unknown values which need to be solved. You can find a system of equations using information about the 11th term and the relationship between the 5th and 7th terms. Your unknown numbers to solve for first are d and t1.

The relevant equation for part 2 of the homework template is tn=t1+(n-1)d
 
I'll give you an even bigger hint than Symbol and ehild gave:
a(n) = a1 + (n-1)d
substitute 11...
53 = a1+10d
you can do the rest ;)

Thanks and good luck, Bonaparte
 
Vince604 said:

Homework Statement


In an arithmetic sequence, the 11th term is 53 and the sum ofof the 5th and 7th terms is 56. Find the first 3 terms of the sequence.


Homework Equations





The Attempt at a Solution



I'm trying to use the formula: tn= t1+(n-1)d but don't have right numbers. please show me step by step would be really helpful. Thanks

From the PF rules:
On helping with questions: Any and all assistance given to homework assignments or textbook style exercises should be given only after the questioner has shown some effort in solving the problem. If no attempt is made then the questioner should be asked to provide one before any assistance is given. Under no circumstances should complete solutions be provided to a questioner, whether or not an attempt has been made.

In other words, we don't provide step-by-step solutions. We'll help you with the work you do.
 
okay thanks
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K