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If (3y-1), (3y+5) and (5y+1) are three consecutive terms of an

Question

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

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(3 y - 1), (3 y + 5)

and

(5 y + 1)

are three consecutive terms of an AP then find the value of

y .

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Given:

(3 y - 1), (3 y + 5)

and

(5 y + 1)

are

3

consecutive terms of an AP.

So, difference between two consecutive terms will be same.

(3 y + 5) - (3 y - 1) = (5 y + 1) - (3 y + 5)

2 (3 y + 5) = 5 y + 1 + 3 y - 1

6 y + 10 = 8 y

8 y - 6 y = 10

2 y = 10

y = 5

The value of

y

5

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Question Text	If $(3 y - 1), (3 y + 5)$ and $(5 y + 1)$ are three consecutive terms of an AP then find the value of $y .$
Answer Type	Text solution:1
Upvotes	150