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Solution


Q.

Your friend Veer wants to participate in a 200 m race. He can currently run that distance in 51 seconds and with each day of practice it takes him 2 seconds less. He wants to complete the race in 31 seconds.

Based on the above information answer the following question:

 

(iii) (b) Find the value of n, for which 2n, n + 10, 3n + 2 are three consecutive terms of an AP.
1 5  
2 4  
3 6  
4 3  

Ans.

(3)

Since, 2n, n + 10, 3n + 2 are in AP.2(n + 10) = 2n + 3n + 2 [∵ if a, b, c are in AP then 2b = a + c]⇒ 2n + 20 = 5n + 2⇒ 18 = 3n⇒ n = 6