Answer:
The cost of making the 10th frame is 9765625
Step-by-step explanation:
<em>Topic: Geometric Progression</em>
Literally, what is being asked in the question is to get the 10th term of a geometric progression.
This can be done in two ways.
The first way is by multiplying 5 in 10 places;
i.e.
But what if we're dealing with a kind of difficult combination of numbers.
Follow the highlighted steps below, to solve this question.
Given:
Cost of first frame = 5 nickels
Additional frame cost a multiple of 5
We're to calculate the payment for making 10 frames;
Using the geometric Formula
Where a = first term = cost of first nickel = 5
r = common ratio = multiple of 5
n = 10th nickel
Tn = Cost of the tenth nickel; i.e
By Substitution
becomes
Hence, the cost of making the 10th frame is 9765625