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Which Term of the Ap ` 5/6 , 1 , 1 1/6 , 1 1/3` , ................ is 3 ?

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प्रश्न

Which term of the AP ` 5/6 , 1 , 1 1/6 , 1 1/3` , ................ is 3 ?

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उत्तर

In the given AP, first term =`5/6  "and common difference" , d = (1-5/6 = 1/6)`
Let its nth   term be 3.

Now, Tn = 3 

⇒ a + (n-1) d = 3 

⇒ `5/6 + (n-1) xx 1/6 = 3`

⇒`2/3 + n/6 =3`

⇒`n/6  = 7/3`

⇒ n= 14 

Hence, the 14th  term of the given AP is 3.

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अध्याय 5: Arithmetic Progression - Exercises 1

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 5 Arithmetic Progression
Exercises 1 | Q 12

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