Answer :
Answer:
9th January = 6561 cent= 65.61 dollars
Step-by-step explanation:
so on tripling the amount , one by one and multiplying each amount by 3, you will get the next day amount
ist January = 1 cent
2nd January = 3 cent
3rd January = 9 cent
4th January = 27 cent
5th January = 81 cent
6th January = 243 cent = 2.43 dollar
7th January = 729 cent= 7.29 dollars
8th January = 2187 cent= 21.87 dollars
9th January = 6561 cent= 65.61 dollars
Answer: the deposit on January 9 will be $6561
Step-by-step explanation:
Suppose you deposit
one cent on January 1,
three cents on January 2,
nine cents on January 3, and so on, since you are tripling the amount of your deposit each day, the amount of money each day is increasing in geometric progression.
The formula for the nth term, Tn of a geometric progression is
Tn = ar^n-1
Where
a is the first term of the sequence
n is the number of terms of the sequence
r is the common ratio
From the information given
a = 1(amount deposited on January 1)
r = 3(the rate at which the amount is increasing)
n = 9(9 days from January 1 to January 9)
T9 = amount on January 9.
It becomes
T9 = 1 × 3^(9-1) = 3^8
T9 = $6561