r=1.65/1.1=1.5=22.8594
I have the same question on my exam too!!!
The first 3 terms in a geometric sequence are 1.1, 1.65, and 2.475.
Part A: What is the sum of the first 6 terms of the sequence? Show your work.
Part B: How does the sum of the series differ from the 6th term? Explain.
Part C: If the nth term in this sequence represents the total amount of protein a cell has produced in n hours, what would you use to find the amount of protein produced by 4 hours: the 4th term of the sequence, or the sum of the first 4 terms? Explain how you know.
2 answers
s = a(1-r^6)/(1-r)
= 1.1(1-1.5^6)/(1-1.5)
= 22.8594
correct
s-T6 = 22.8594 - 1.1*1.5^5 = 14.5063
Ummm. the 6th term is the 6th term.
The sum is gotten by adding up all 6 terms.
Use the nth term. It represents the amount produced in n hours. The sum here might represent the total amount in n cells, where each cell is started in successive hours.
= 1.1(1-1.5^6)/(1-1.5)
= 22.8594
correct
s-T6 = 22.8594 - 1.1*1.5^5 = 14.5063
Ummm. the 6th term is the 6th term.
The sum is gotten by adding up all 6 terms.
Use the nth term. It represents the amount produced in n hours. The sum here might represent the total amount in n cells, where each cell is started in successive hours.