Subjects algebra

Arithmetic Sequence 0Afef2

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem is to generate fill-in-the-blank questions for an arithmetic sequence for class 10 students. 2. An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference $d$. 3. The general formula for the $n$th term of an arithmetic sequence is: $$a_n = a_1 + (n-1)d$$ where $a_n$ is the $n$th term, $a_1$ is the first term, and $d$ is the common difference. 4. Here are some fill-in-the-blank questions: - The first term of an arithmetic sequence is ____, and the common difference is ____. - The 5th term of an arithmetic sequence with first term 3 and common difference 4 is ___. - If the 10th term of an arithmetic sequence is 45 and the common difference is 5, then the first term is ___. - The common difference of an arithmetic sequence with first term 7 and 6th term 22 is ___. - The sum of the first 8 terms of an arithmetic sequence with first term 2 and common difference 3 is ___. 5. These questions help students practice identifying terms, common difference, and using the formula for the $n$th term and sum of terms in an arithmetic sequence. Final answer: Fill-in-the-blank questions as above for arithmetic sequences.