Given that:
Initial amount = $1400
Amount deposited per week = 50
Amount after 47 weeks =?
Using the Arithmetic Progression relation :
Tn = A + (n - 1)d
Weekly deposit = d = 50
A = initial / first deposit = 1400
n = number of deposits
T47 = 1400 + (47 - 1)50
T47 = 1400 + (46)*50
T47 = 1400 + 2300
T47 = 3700
She will have $3700 after 47 weeks.
