Number Sequences and Arithmetic Sequences
12 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is a number sequence?

A set of numbers written according to a particular rule

Define an arithmetic sequence.

A sequence where each term is obtained by adding a fixed number to the previous term.

How can the difference between any two terms of an arithmetic sequence be calculated?

The difference is the product of the difference of positions and the common difference.

What remains the same for each term of an arithmetic sequence when divided by the common difference?

<p>The remainder</p> Signup and view all the answers

What is the algebraic form of an arithmetic sequence with the first term f and common difference d?

<p>$x_n = dn + (f - d)$</p> Signup and view all the answers

How can the number of terms in an arithmetic sequence be calculated?

<p>$n = \frac{x_n - x_1}{d} + 1$</p> Signup and view all the answers

Define an arithmetic sequence with a first term of 7 and a common difference of 3.

<p>7, 10, 13, 16, ...</p> Signup and view all the answers

What is the 11th term of the arithmetic sequence with a first term of 7 and a common difference of 3?

<p>37</p> Signup and view all the answers

What are the first term and the common difference of the arithmetic sequence defined by the algebraic expression 5n+2?

<p>First term: 7, Common difference: 5</p> Signup and view all the answers

Is 123 a term of the arithmetic sequence 3, 6, 9, ...? Why?

<p>No, 123 is not a term of the sequence.</p> Signup and view all the answers

Calculate the difference between the sums of the first 20 terms of the sequences 5, 9, 13, ... and 10, 14, 18, ...

<p>160</p> Signup and view all the answers

What is the common difference of the arithmetic sequence 4, 9, 14, ...? What is the difference between its 5th and 25th terms?

<p>Common difference: 5, Difference: 100</p> Signup and view all the answers

More Like This

Use Quizgecko on...
Browser
Browser