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Subjects

Mathematics

Introduction to APs and common difference.

समांतर श्रेणियों (AP) और सार्व अंतर का परिचय

In this Class 10 Mathematics topic from Arithmetic Progressions (AP), students learn what an arithmetic progression is and how to recognize its pattern. They explore the first term, the common difference, and the role of a constant change between consecutive terms. The topic also develops skills for writing the general form of an AP, finding missing terms, and deciding whether a given sequence follows an arithmetic pattern through examples and simple reasoning.

Practice questions

Is the sequence (a_n=n^2-3n+2) an AP?In an AP, (a_5=18) and (a_9=34). What is the common difference?For which (k) do the terms (k+2,3k-1,5k-4) form an AP?Which sequence is an arithmetic progression with common difference −4?Which sequence is an AP with common difference (\frac{1}{4})?The sequence of angles is (180^\circ,150^\circ,120^\circ,90^\circ). What is the common difference?What is the common difference of the sequence (a_n=\frac{3-2n}{5})?The (n)th term of a sequence is (a_n=11-3(n-1)). What are the first term and common difference?Which statement is correct for the sequence (\sqrt{2},\sqrt{8},\sqrt{18},\sqrt{32})?If (2m-1,m+4,4m-3) are consecutive terms of an AP, what are (m) and (d)?If (a,b,c) are consecutive terms of an AP, which relation is always true?Which of the following sequences is not an AP?What is the common difference of the sequence (a_n=7-0.5n)?A student's savings are (50,65,80,95,\ldots) rupees. With what common difference is this an AP?For nonzero (k), (k,k^2,k^3) form an AP. What is the value of (k)?For valid (p), can (\frac{1}{p+1},\frac{1}{p},\frac{1}{p-1}) form an AP?What is the common difference of the sequence (3a, 3a + 2b, 3a + 4b, 3a + 6b, …)?The listed terms are (5,5+h,5+2h). For which (h) is this an AP?Which sequence given by (a_n) is an AP?If (x − 2, 2x + 1, 4x − 3) are consecutive terms of an AP, what are x and d?