Question

Your grandmother gave you ₱1000 to start a college book fund. She also promised to add another ₱200 each month, if you add ₱50 monthly. Which rule generates a sequence of the monthly amounts in your college book fund? answer​

Answer 1

Answer:

A= ₱1000 + t( ₱250) ------where t is the time in months

Step-by-step explanation:

The principal amount ,P, is given as : ₱1000----- P=₱1000 ------equation (i)

Additional amounts to be added by grandmother = ₱200 monthly

Amount expected to add monthly =  ₱50

Additional amounts in total added monthly = ₱200 + ₱50=₱250

Monthly amounts ,A, in the fund after the first month, t =1 month will be:

A=P + ₱250= ₱1000 + 1( ₱250) ------where t= 1, amount at end of month 1

A=P +₱250= ₱1000 + 2( ₱250)--------where t=2,  amount at end of month 2

A=P +₱250= ₱1000 + 3( ₱250)---------where t=3, amount at end of month 3

A=P +₱250= ₱1000 + 4( ₱250)--------where t=4, amount at end of month 4

From the breakdown above of 4 months, the general equation of monthly amounts will be;

A= ₱1000 + t( ₱250) ------where t is the time in months