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Find The Nth Term of the A.P. 13, 8, 3, −2, ... - Mathematics

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प्रश्न

Find the nth term of the A.P. 13, 8, 3, −2, ...

उत्तर

nth term of the A.P. 13, 8, 3, −2, ...

Here

First term (a) = 13

Common difference of the A.P. (d) = 8 - 13

= -5

Now, as we know,

`a_n = a + (n - 1)d`

So for nth term

`a_n = a + (n -1)d`

`= 13 + (n - 1)(-5)`

`= 13 - 5n + 5`

= 18 - 5n

Therefore the nth term of the given A.P is `a_n = 18 - 5n`

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पाठ 5: Arithmetic Progression - Exercise 5.4 [पृष्ठ २४]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 5 Arithmetic Progression
Exercise 5.4 | Q 1.3 | पृष्ठ २४
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