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If Number N - 2, 4n - 1 and 5n + 2 Are in A.P Find the Value of N and Its Next Two Terms. - Mathematics

Sum

If number n - 2, 4n - 1 and 5n + 2 are in A.P find the value of n and its next two terms.

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Solution

Since (n - 2), (4n - 1) and (5n + 2) are in A.P we have

(4n - 1) - (n -1) = (5n + 2)- (4n -1) 

=> 4n - 1 - n + 2 = 5n + 2 - 4n + 1

=> 3n + 1 = n + 3

=> 2n = 2

=> n = 1

So the given number are  -1, 3, 7

=> a = -1 and d = 3 - (-1)  = 4

hence the next two terms are (7 + 4) and (7 + 2 x 4)

i.e 11 and  15.

Concept: Arithmetic Progression - Finding Sum of Their First ‘N’ Terms.
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 10 Arithmetic Progression
Exercise 10 (B) | Q 9 | Page 140
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