# 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 : To prove a number sequence is an arithmetic progression: Click here

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 , then the number sequence is an arithmetic progression.]