The first four terms of an arithmetic sequence are shown. Which of the following is an expression for the total number of dots in the nth term of the sequence?
3n + 4 represents the total number of dots in the nth term of the arithmetic sequence.
In an arithmetic sequence, each term increases by a constant difference. The first four terms indicate a pattern, allowing the formulation of a linear expression to calculate the nth term.
This expression suggests a common difference of 10, which does not align with the observed pattern of the sequence. The first four terms do not support such a rapid increase, making this choice invalid for representing the nth term.
While this expression has a linear form, it incorrectly implies a common difference of 7. The initial terms do not exhibit this level of increase; thus, this formula does not accurately reflect the dots in the nth term of the sequence.
This expression correctly captures the pattern of the sequence. With a common difference of 3 between the terms, and starting from a value of 4 for the first term, this formula efficiently represents the total number of dots in the nth term.
This option implies a common difference of 1, which is far too small given the context of the problem. The terms grow at a rate inconsistent with this expression, making it unsuitable for determining the total number of dots in the nth term.
Understanding the structure of an arithmetic sequence allows for the correct formulation of expressions representing its terms. The expression 3n + 4 accurately reflects the relationship between the term number and the total number of dots, while the other options misrepresent the common difference and starting values of the sequence.
Related Questions
View allEach can of Brand A paint will cover 200 square feet. A building has t...
Which of the following is a decomposition of the number 1260?
For the preceding numbers, 1/2, 0.05, 5, 1/5, which of the following l...
The chart shows the measurements of the height of a child at 3, 6, and...
Which of the following figures represents the product 2/5 x 3/4?
Related Quizzes
View allPraxis 5001 Test with Answers
Praxis 5002 Study Guide
5002 Praxis Practice Test
Reading & Language Arts Praxis 5002
Praxis 5002 Reading and Language Arts Exam
Praxis 5003 Exam with Outline
5003 Praxis Math Answers
Praxis Social Studies 5004
Praxis 5004 Social Studies
Praxis 5004 Social Studies Subtest Practice Test
- ✓ 500+ Practice Questions
- ✓ Detailed Explanations
- ✓ Progress Analytics
- ✓ Exam Simulations