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.
Arithmetic Sequence 0Afef2
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