Arithmetic Progressions — Question Ex 5.1 Q4
Back to all questionsWhich of the following are APs ? If they form an AP, find the common difference d and write three more terms.
(i) 2, 4, 8, 16, …….
(ii) 2, \(\frac { 5 }{ 2 }\) , 3, \(\frac { 7 }{ 2 }\) , …….
(iii) -1.2, -3.2, -5.2, -7.2, ……
(iv) -10, -6, -2,2, …..
(v) 3, 3 + \(\sqrt { 2 } \), 3 + 2\(\sqrt { 2 } \), 3 + 3\(\sqrt { 2 } \), …..
(vi) 0.2, 0.22, 0.222, 0.2222, ……
(vii) 0, -4, -8, -12, …..
(viii) \(\frac { -1 }{ 2 }\) , \(\frac { -1 }{ 2 }\) , \(\frac { -1 }{ 2 }\) , \(\frac { -1 }{ 2 }\) , …….
(ix) 1, 3, 9, 27, …….
(x) a, 2a, 3a, 4a, …….
(xi) a, a2, a3, a4, …….
(xii) \(\sqrt { 2 } \), \(\sqrt { 8 } \), \(\sqrt { 18 } \), \(\sqrt { 32 } \), …..
(xiii) \(\sqrt { 3 } \), \(\sqrt { 6 } \), \(\sqrt { 9 } \), \(\sqrt { 12 } \), …..
(xiv) 12, 32, 52, 72, ……
(xv) 12, 52, 72, 73, ……



CBSE Class 10 Arithmetic Progressions — Complete Guide
AP is a high-scoring chapter carrying 5-6 marks. The nth term and sum formulae appear in every board exam.
Quick Revision: Key Concepts
- AP: a, a+d, a+2d, ... (constant common difference)
- nth term: an = a + (n−1)d
- Sum: Sn = n/2[2a + (n−1)d] = n/2(a + l)
- Key relation: an = Sn − Sn−1
Most Important Questions
- Find specific terms (nth term, last term)
- Find sum of first n terms
- Find number of terms when sum is given
- Application problems (salary, savings, stacking)
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