Question

4) एका अंकगणिती श्रेढीतील 9 वे पद 499 आहे आणि 499 वे पद 9 आहे. तर त्या
श्रेढीतील कितवे पद शून्य आहे ?

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Answer 1

Given : The 9th term in an arithmetic series is 499 and the 499th term is 9

एका अंकगणिती श्रेढीतील 9 वे पद 499 आहे आणि 499 वे पद 9 आहे

To Find : which term is zero

कितवे पद शून्य आहे

Solution:

Let say AP is

a , a + d  ,a  + 2d , . . .  .

nth term = a + (n - 1)d

9th term in an arithmetic series is 499

=> a + 8d  = 499  Eq1

499th term is 9

=> a + 498d = 9   Eq2

Eq2 - Eq2

=> 490d  = - 490

=> d = - 1

a + 8d  = 499

=>a - 8 = 499

=> a = 507

a + (n - 1)d = 0

=> 507 + (n - 1)(-1) = 0

=> 507  + 1 - n = 0

=> 508 = n

508th term is  0

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