If the 1st and 10th terms of geometric sequence are 4 and 100. Fine the nth term of the sequence

1 answer:

3 0

A(n)=ar^(n-1) so

100=4r^9

25=r^9

ln25=9lnr

ln25/9=lnr

r=e^(ln25/9)

a(n)=4e^((n-1)(ln25/9) if you wanted an approximation...

a(n)=4(1.43^(n-1))

You might be interested in

How can data displays be used to compare two sets of data? Select all that apply. They quickly illustrate measures of center. Th

Virty [35]

Answer:

Step-by-step explanation:

A and C Step-by-step explanation:I would go for A and C options which best describes the use of data displays for the comparison of two data sets.Data Display is basically displaying of useful data which has been extracted from bundles of raw data or raw data points. That useful data can be used to compare two different datasets as well. So, in option A, It says that it quickly illustrate measures of centre. True, because it presents you quick display so that everyone seeing the data in form of charts or tables easily catch the information to be conveyed. And in option C, It says, they show trends in data that can be compared. Yes again true. Data displays show you trends of different things in one clear picture and it can be compared with other datasets through the use of data displays. Still stuck? Get 1-on-1 help from an expert tutor now.

6 0

2 years ago

3) What is an equation for the line that passes through the coordinates (-1.2) and (7,6) ?

OLEGan [10]

Answer:

$y=\frac{1}{2} x+\frac{5}{2}$

Step-by-step explanation:

First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.

$\frac{6-2}{7- (-1)}=\frac{4}{8}=\frac{1}{2}$

So now we have the equation $y=\frac{1}{2} x+b$ , and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation