SPM Practice 1 (Arithmetic Progression) : Question 8

Question 8
If ${\mathrm{log}}_{10}p,{\mathrm{log}}_{10}pq,{\mathrm{log}}_{10}p{q}^{2}$ are the first three terms of a progression, show that it forms an arithmetic progression.

Hint :
Step 1: List down any three consecutive terms. [Example: T 1 , T 2 , T 3 ]
Step 2: Calculate the values of T 3 − T 2  and T 2 − T 1 .
Step 3: If   T 3 − T 2 = T 2 − T 1 , then the number sequence is an arithmetic progression.]

Solution: