Can you derive a 10 second candle stick from two 5 second candle sticks?

Beginner Questions
1

Assume we have two consecutive S5 candle sticks, C1 and C2, each with an open, high, low and close price.

Is it correct to assume that you can derive a S10 candle stick from these two S5 sticks by using these values:

Open: C1.open
High: Max(C1.high, C2.high)
Low: Min(C1.low, C2.low)
Close: C2.close

2

Correct, it’s just data compression.

3

Thanks … this means I only have to retrieve all S5 candle sticks and can derive sticks of other granularities (provided I use a multiple of 5 seconds). Saves me from retrieving and storing an enormous amount of data (at a computational cost).