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Write 5th term from the end of the A.P. 3, 5, 7, 9, ..., 201. - Mathematics

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प्रश्न

Write 5th term from the end of the A.P. 3, 5, 7, 9, ..., 201.

 
योग
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उत्तर

In the given problem, we need to find the 5th term from the end for the given A.P.

3, 5, 7, 9 …201

Here, to find the 5th term from the end let us first find the common difference of the A.P. So,

First term (a) = 3

Last term (an) = 201

Common difference (d) =  5 - 3 = 2 

Now, as we know, the nth term from the end can be given by the formula,

an = l - (n-1) d

So, the 5th term from the end,

a5 = 201 - (5-1)2

     = 201 - (4)2

     = 201 - 8 

     = 193

Therefore, the 5th term from the end of the given A.P. is 193 .

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अध्याय 5: Arithmetic Progression - Exercise 5.7 [पृष्ठ ५६]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 5 Arithmetic Progression
Exercise 5.7 | Q 5 | पृष्ठ ५६

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