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Find the 10th term from the end of the progression82 + 79 + 76 + … + 4. - Mathematics

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Question

Find the 10th term from the end of the progression
82 + 79 + 76 + … + 4.

Sum
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Solution

This is an Arithmetic Progression (AP).

First term a = 82

Common difference d = 79 − 82

= −3

Last term l = 4

Formula for the nth term from the end:

nth term from end = l − (n − 1)d

= 4 − (10 − 1)(− 3)

= 4 + 27

= 31

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Chapter 9: Arithmetic and geometric progression - Exercise 9B [Page 180]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 9 Arithmetic and geometric progression
Exercise 9B | Q 4. (b) | Page 180
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