Q2 of 178 Page 533

Find the value of x for which the numbers (5x + 2), (4x - 1) and (x + 2) are in AP.

Since, the terms are in an AP, therefore

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


⇒ - x - 3 = - 3x + 3


⇒ 2x = 6


⇒ x = 3


∴ x = 3


More from this chapter

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47

A sum of Rs. 2800 is to be used to award four prizes. If each prize after the first is Rs. 200 less than the preceding prize, find the value of each of the prizes.

 1

Determine k so that (3k - 2), (4k - 6) and (k + 2) are three consecutive terms of an AP.

 3

If (3y - 1), (3y + 5) and (5y + 1) are three consecutive terms of an AP then find the value of y.

 4

Find the value of x for which (x + 2), 2x, (2x + 3) are three consecutive terms of an AP.