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Find x, if the given numbers are in A.P. 5, (x - 1), 0

Question

Find $x$ , if the given numbers are in A.P. $5$ , $(x - 1)$ , $0$

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Harper Discussed

Find

x

, if the given numbers are in A.P.

5

(x - 1)

0

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

We know that the arithmetic mean between two numbers

a

and

b

A M = \frac{a + b}{2}

Here, it is given that

A M = (x - 1)

a = 5

and

b = 0

, therefore,

A M = \frac{a + b}{2} \Rightarrow x - 1 = \frac{5 + 0}{2} \Rightarrow x - 1 = \frac{5}{2} \Rightarrow 2 (x - 1) = 5 \Rightarrow 2 x - 2 = 5 \Rightarrow 2 x = 5 + 2 \Rightarrow 2 x = 7 \Rightarrow x = \frac{7}{2}

Hence,

x = \frac{7}{2}

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Question Text	Find $x$ , if the given numbers are in A.P. $5$ , $(x - 1)$ , $0$
Answer Type	Text solution:1
Upvotes	150