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Show that Each of the Progressions Given Below is an Ap. Find the First Term, Common Difference and Next Term of Each (Ii) 11, 6, 1, – 4,…….. - Mathematics

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Question

Show that each of the progressions given below is an AP. Find the first term, common  difference and next term of each

(ii) 11, 6, 1, – 4,……..


 

Solution

The given progression 11, 6, 1, – 4,……..
Clearly,6 – 11 = 1 – 6 = –4 – 1 = –5 (Constant)
Thus, each term differs from its preceding term by 6. So, the given progression is an
AP.
First term = 11
Common difference = –5
Next term of the AP = 4+(-5) = - 9

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Chapter 11: Arithmetic Progression - Exercises 1

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RS Aggarwal Mathematics [English] Class 10
Chapter 11 Arithmetic Progression
Exercises 1 | Q 1.2
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