Problem

$\frac{4}{3} p+2, \frac{p}{2}-1$, and $\frac{4}{3} p-2$ are consecutive terms of an arithmetic progression. Find the value of $p$. \[ p= \] Show Calculator Stuck? Use a hint. Report a problem

Solution

Step 1 :The difference between the second and first term is $\frac{p}{2}-1 - \frac{4}{3}p - 2$. The difference between the third and second term is $\frac{4}{3}p - 2 - \frac{p}{2} + 1$.

Step 2 :Setting these two expressions equal to each other gives us an equation in terms of p: $-0.833333333333333*p - 3 = 0.833333333333333*p - 1$

Step 3 :Solving this equation gives us the value of p: $p = -1.2$

Step 4 :Final Answer: \(\boxed{-1.2}\)

From Solvely APP
Source: https://solvelyapp.com/problems/detNdlkZXC/

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