Find $a$, $b$ and $c$ if it is given that the numbers $a, 7, b, 23, c$ are in AP.

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Step 1: $a, 7, b, 23, c$ are in A.P. Let $d$ be the common difference. $a + d = 7$ ... (i) and $a + 3d = 23$ ... (ii)
Step 2: Solving (i) & (ii), $d = 8$
Step 3: $	herefore a = -1$, $b = 15$, $c = 31$

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