Math Problem Statement
The first term of a sequence is 20
The term-to-term rule is -6
What is the 3rd term?
Solution
The first term of the sequence is , and each term is obtained by subtracting 6 from the previous term.
Let's calculate up to the 3rd term:
- 1st term:
- 2nd term:
- 3rd term:
Thus, the 3rd term is .
Would you like further details or have any questions?
Here are 5 related questions to consider:
- What would be the 5th term in this sequence?
- How can you express the -th term of this sequence algebraically?
- What type of sequence is this, and how do you classify it?
- What happens to the sequence if the rule changes to instead of ?
- What is the sum of the first 3 terms of this sequence?
Tip: For sequences where the rule involves subtraction, the common difference is negative, leading to a decreasing arithmetic sequence.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Arithmetic Sequence
Algebra
Formulas
nth term of arithmetic sequence: a_n = a_1 + (n-1) * d
Theorems
Arithmetic sequence theorem
Suitable Grade Level
Grades 6-8
Related Recommendation
Find the 20th Term of an Arithmetic Sequence with First Term 6 and Common Difference -2
Find the 20th Term of an Arithmetic Sequence from Given Terms
Finding the Common Difference in an Arithmetic Sequence: First and Sixth Terms
Find the 20th Term of the Arithmetic Sequence -3, -2 ½, -2
Find the Number of Terms and Last Term in Arithmetic Progression: 20, 17, 14, Sum = 65