I fiddled around with the problem for a while but no, just find the formula:
*
The proportion is 1/4 because:4^4 = 256 = 
*
4^2 = 16 = 
*
First facet of sequence: 256So with these 2 numbers you can get the formula.Now plug in 7 because that n and also solve.

You are watching: What is the 7th term of the geometric sequence where a1 = 256 and a3 = 16?

*



-16=ar^4 split by 1024=ar is:-1/64=r^3r=-1/41024=a(-1/4), a=-4096 soa(n)=-4096(-0.25^n)a(7)=-4096(-0.25^7)=0.25


*
Regardless of the sign of the typical ratio, then, you will have
*
The yes, really term would be closer to
*
if girlfriend didn"t need to round.

alternative "A" is correct.

Step-by-step explanation:

Since we have given that

*

As we recognize that that is a geometric succession :

*

And we require to discover the 7th ax of the geometric sequence.

*

Hence, option "A" is correct.


the 7th hatchet of the geometric sequence is 1/4 or 0.25

Step-by-step explanation:

Given geometric succession terms

a1 = 1,024 and also a4 = −16

nth ax of geometric succession is

a1 = 1,024 and a4 = −16

Plug in 4 because that n and also solve because that "r"

*

*

Divide both sides by 1024

*

Now take it cube root on both sides

*

To find 7th term we plugin n=7 , r= -1/4 , a1 = 1024

*

*

a_7 = 0.25


Acable vehicle begins its trip by moving up a hill. As it move up, that gains elevation at a consistent rate that 50 feet/minute until it reaches the optimal at 2,000 feet. Then, as the car moves down to the hill’s base, its key drops in ~ the exact same rate.
Ametalworker has a metal alloy that is 30? % copper and another alloy that is 55? % copper. How countless kilograms of every alloy must the metalworker integrate to create 90 kg that a 50? % copper? alloy?
What room the domain and range of the duty f (x) =1 / 4 (x square source 3 + 6 + sqrt 2 + 5x + -4)?D(- 6.5, 2.5)R(- infinity, infinity)D(-infinity, infinity)R(...
Assignment is past due a1.4.13Question Help25MLwhere M = number of monsters and L = level of monsters. Fix theIn a video game experience, the exper...
One mole of perfect gas broadens isothermally at a temperature of 0.00℃ till its volume is doubled. (a) just how much work-related is done by the gas? (b) just how much warm is moved to the g...
In 2011, west Texas endured the second-most major drought in state history. That left many neighborhoods in theregion there is no drinking water. Now, some areas in Texas will certainly try...
Click to evaluation the virtual content. Climate answer the question(s) below, using finish sentences. Scroll down to view added questions. Digital Content: website 1 What space the four...
In a group conversation which of these is ideal example that synthesizing claims into a solitary conclusion...
A... Strategy Examplenove me through more Question:How did backpacks change overDocentethe centuriesBackpacks readjust over thecenturies/
Who tried come organize a slave rebellion near Richmond in 1800? A) Denmark Vesey B) Frederick Douglass C) Gabriel Prosser D) Nat Turner...
Last week a woman packages 267 boxes of holiday cheese assortment. Discover her gun weekly earning if she is payment at the differential price that is displayed on the right...

See more: Do The Needs Of The Many Outweigh The Needs Of The Few Or The One


You room registered.Access to her account will certainly be opened up after verification and publication that the question.
Pick a subjectMathematicsHistoryEnglishBiologyChemistryPhysicsSocial StudiesAdvanced placement (AP)SATGeographyHealthArtsBusinessComputers and also TechnologyFrenchGermanSpanishWorld Languages