Mathematics · Arithmetic Progressions · NCERT Examples
Example 2
A complete, independently verified solution for NCERT Example 2.
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Mathematics · Chapter 5 · NCERT Examples
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NCERT Example
Example 2
Which lists form an AP, and for each AP write the next two terms? (i) 4,10,16,22,… (ii) 1,−1,−3,−5,… (iii) −2,2,−2,2,… (iv) 1,1,1,2,2,2,3,3,3,…
Solution
Board-exam working:
Differences are: (i) 6,6,6
(ii) −2,−2,−2
(iii) 4,−4
(iv) 0,0,1.
Thus only (i) and (ii) are APs.
Final answer
(i) AP, d=6, next 28,34; (ii) AP, d=−2, next −7,−9; (iii),(iv) not APs.