SPM Practice Question 7 – 9

Question 7:
Find the sum of all the multiples of 7 between 100 and 500.

Solution:

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

Solution:

Question 9:


Show that the volumes of the cylinders in the above diagram form an arithmetic progression and state its common difference.

Solution: