In a series circuit the potential differences of cells add up to give the total potential difference of the battery
In series circuits the total potential difference of the battery is shared between the various components
Vtotal=V1+V2+...
In series circuits the current is the same throughout the circuit
I1=I2=...
In series circuits the resistance add up to create the total resistance
Rtotal=R1+R2+...
If one component in a series circuit breaks all other components will break too
If one component in a parallel circuit breaks the others are not affected
In parallel circuits the potential difference is the same across all componentsV1=V2=...
In parallel circuits current is shared between branches
Itotal=I1+I2+...
Two resistors in parallel will have a total resistance that is lower than the smallest resistor ; this is because the current has more than one path to choose so the total current increases and therefore the resistance decreases