Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

Answers

Answer 1

Answer: Hello,

a(2)=-6
a(3)=-6*r
a(4)=-6*r²
a(5)=-6*r^3=162
a(5)/a(2)=r^3=162/(-6)=-27==>r=-3

a(1)=-6/(-3)=2
a(2)=2*(-3)
a(3)=2*(-3)²
a(4)=2*(-3)^3
a(5)=2*(-3)^4

a(n)=2*(-3)^(n-1)

Answer

Answer 2

Answer:

Answer:

an = 2 • (-3)^n - 1

Step-by-step explanation:

I have taken the test and this is the correct option :)

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What is the perimeter of a rhombus whose diagonals measure 42cm and 56cm?

Answers

Answer:

676

Step-by-step explanation:

d1×d2/2

42×56/2

1352/2=676

please check it by doing again

Answer:

1176

Step-by-step explanation:

=a half the product of its diagonals

=1/2(42x56)

=1176

The dial of a combination lock has all 26 letters of the alphabet on it. A combination is formed by dialing 3 different letters in a particular order. If the owner of the lock forgets the combination, how many trials may be needed to open the lock?a)17576
b)15600
c)78

Answers

3 differnent letters
once you use one, ou can't use again
slot method
26 options for 1st slot
25 options for 2nd ( 1 went to firstt slot)
24 otpoins for 3rd

mulipl together

26*25*24=15600 options

B is answer

Answer:

Step-by-step explanation:

During the "free banking" era, A. only the U.S. Treasury could issue currency. B. value and denominations were standard across the nation. C. the number of state chartered banks stayed the same. D. all banks were able to issue currency.

Answers

the answer is A. only the U.S. treasury could issue currency

True or false, two figures are mathematically similar if the angles change by the same scale factor.

Answers

Answer:

true

Step-by-step explanation:

when a figure is changed by a scale factor, it is similar. The angles and shape stay the same, but the size changes.

A box of candy weighs 340.23 grams and costs $18.99. if 1 gram is approximately 0.03527 ounces, what is the unit price per ounce of the candy?

Answers

340.23 / 0.03527 =9,646.44
$18.99 / 9,646.44 = .0019686
340.23 / 18.99 = 17.91
17.91 x .0019686 = .0352576

How do I solve a problem like -8(n+3)+28=-5n-5

Answers

-8(n+3)+28=-5n-5

-8n-24+28=-5n-5

-8n+4=-5n-5

-8n+4-4=-5n-5-4

-8n=-5n-9

-8n+5n=-5n+5n-9

-3n=-9

-3n/-3=-9/-3

n=3

n=3 is the correct answer

Other Questions

I can't figure this outthis question was on my exam and I got it completely wrong (I have a graphing calculator capble of matrices so yo don't have to solve the system of equations by hand, use rref (reduced row echelon form))values of a, b, and c and the equation of the graph of the parabola y=ax^2+bx+csuch that is passes through the points (2,-15) (-5,-29) (-3,5) rewrite it in the form (x-h)^2=4P(y-k) show all workif I were to sub the points in I would ge(2,-15): -15=4a+2b+c (-5,-29): -29=25a-5b+c (-3,5): 5=9a-3b+cthen solve for a, b and c I don't know how to solve, please help(if I don't undestand your answer, I will either report or ask you to explain more)

All of the following fractions are equal 1/2 to except:A.5/10 B.20/40 C.4/6 D.9/18

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PLSSS HELP ME PLSSS14 POINTS!CAN'T YOU HELP ME THE BEAUTIFUL GIRL???!!!