Mathematics
Arithmetic Progression
Arithmetic Progression for Class 9 Mathematics introduces a sequence in which consecutive terms change by a constant common difference. Students learn to recognise the pattern, identify the first term and common difference, generate further terms, and use the nth-term rule to find a required term. As part of Sequences and Progressions, the topic builds clear reasoning through number patterns, tables, and simple problems, helping learners connect a general rule with specific values and explain their steps accurately.
Topic overviewटॉपिक का परिचय
Concept revisionअवधारणाओं का पुनरावर्तन
What is the common difference in the sequence 11, 16, 21, 26, ...?
A sequence has a common difference when the same number is added to obtain each next term. Subtract consecutive terms: 16 - 11 = 5, 21 - 16 = 5, and 26 - 21 = 5.
What is the common difference in the sequence (2,5,8,11,\ldots)?
In an arithmetic progression, the common difference is found by subtracting a term from the next term. Here, \(5-2=3\).
What will be the next term of the sequence (7,12,17,22,\ldots)?
The direct answer is option C, 27. This is an arithmetic sequence because the same number is added each time.