Question

10 और 250 के बीच में 4 के कितने गुणज हैं?

Answer 1

10 और 250 के बीच में 4 के गुणज हैं : 12 , 16, 20, 24, ....... 248

यहाँ 12, 16, 20, 24, ...... 248 समानांतर श्रेढी में हैं जहाँ प्रथम पद ,a = 12 , सार्व अंतर, d = 4 और अंतिम पद, $a_n$ = 248 है ।

प्रयोग करें , $a_n=a+(n-1)d$
248 = 12 + (n - 1) × 4
248 - 12 = 4(n - 1)
236 = 4(n - 1)
236/4 = (n - 1)
59 = (n - 1)
n = 60

अतः 10 और 250 के बीच मे 4 के 60 गुणज हैं।

Answer 2

Solution :

12, 16, 20, ....., 248 are multiples of

4 between 10 and 250 are in A.P

first term = a = 12

common difference= a2 - a1

=> d = 16 - 12 = 4

nth term = last term = ( l ) = 248

Let number of term = n

We know that ,

a + ( n -1 )d = l

=> 12 + ( n - 1 )4 = 248

Divide each term with 4 , we get

=> 3 + n - 1 = 62

=> 2 + n = 62

=> n = 62 - 2

=> n = 60

Therefore ,

Number of terms between 10 and

250 which are multiples of 4 = n = 60

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