Question: The 3rd and 4th terms of a geometric progression are 5 and 20, respectively. Find the 1st term, the common ratio, r, and the 9th

The 3rd and 4th terms of a geometric progression are 5 and −20, respectively.
Find the 1st term, the common ratio, r, and the 9th term.

Step by Step Solution

★★★★★

3.38 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let the first term of the geometric progression be denoted by ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Complete Pure Mathematics Questions!

Q:

Prepare Foreign Currency Trial Balance and Translate into USD Given data Kangaroo Limited Equity Account Balances December 3 1 , 2 0 2 3 AUD USD Common stock 3 0 , 0 0 0 , 0 0 0 2 1 , 3 0 0 , 0 0 0...

Q:

The first, second and third terms of a geometric progression are the first, fifth and 11 th terms respectively of an arithmetic progression. Given that the first term in each progression n is 48 and...

Q:

The 4th and 6th terms of a geometric progression are 200 and 800, respectively. Find two possible values for the common ratio, r, and two possible values for the 1st term.

Q:

The first, second and third terms of a geometric progression are the first, sixth and ninth terms, respectively, of an arithmetic progression. Given that the first term in each progression is 100 and...

Q:

The sixth and 13 th terms of a geometric progression are 5/2 and 320 respectively. Find the common ratio, the first term and the 10 th term of this progression.

Q:

Please p-r-o-v-ide the answers directly, no need solutions as long as it is correct. :) i am rechecking my answers. 1. What is the common ratio of the geometric sequence 625, 125, 25, 5, ...? A. 5 B....

Q:

A used car is offered for sale on an installment basis in which a down payment of RM5,000 has to be made, followed by a payment of RM1,000 at the end of the first month, RM950 at the end of the...

Q:

The 1st and 3rd term of a geometric progression are 18 and 2, respectively. Find two possible values of the common ratio, r, and the sum to infinity for each.

Q:

Help with circled question 32. The second and eighth terms of a geometric sequence are 6 and 384, respectively. Find the first term, common ratio, and an explicit rule for the nth term. 33. The first...

Q:

32. The second and eighth terms of a geometric sequence are 6 and 384, respectively. Find the first term, common ratio, and an explicit rule for the nth term. 33. The first row of seats in Section G...

Q:

The 7th term of an arithmetic progression is 20. The 1st, 3rd and 11th terms of the arithmetic progression are the first three terms of a geometric progression. Find the common ratio, r, of this...

Q:

The following are transactions of the Morrison Company: a) November 5: sold merchandise on account for $46,000 with terms of 3/15, n/30. b) November 20: payment was received on $32,000 worth of...

Q:

: Compute the signal energy and signal power for the following discrete-time signal. )= (-)* u(n) Is it a power or energy signal?

Q:

Assume LSUS Corproation is similar to its industry with one exception, it has high fixed costs relative to all other firms in that industry. Given this, you should expect LSUS Corproation: Select...

Q:

When light strikes a receptor, the effect is to _____ the bipolar cells and _____ the horizontal cells. The horizontal cells_____ the bipolar cells. a. excite . . . excite . . . excite b. inhibit . ....

Q:

Use nonparametric methods to compare MAXFWT among the three exposure groups defined by the variable LEAD_GRP?

Q:

What test can be used to assess whether there are overall differences in mean HDL cholesterol among the three treatment groups? Cardiovascular Disease A study was conducted to assess the effect of...

Q:

State the hypotheses to be tested? Cardiovascular Disease A study was conducted to assess the effect of atorvastatin with or without an antibody to serum protein convertase subtilisin/kexin (PSCSK9)...

Q:

Compare and contrast the characteristics of stocks and bonds.

Q:

Transaction List for Part B: 1. Record the entry related to the September 30 deposit, if required. 2. Record the entry related to interest earned, if required. 3. Record the entry related to the note...

Q:

Bee Ware Company is presented with the following two mutually exclusive projects. The required return for both projects is 17.5 percent. Project M: Year 0 is -$191,492 , Year 1 is $68,000 , Year 2 is...