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kow [346]
3 years ago
13

This is the last question on my test i need it done plz help

Mathematics
1 answer:
vlabodo [156]3 years ago
3 0

Answer:goodluck

Step-by-step explanation:$$$$

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Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec
vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}

Hence, we have:

\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\  \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}

Divide the expression for the fifth term by the expression for the second term:

\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}

Substituting the value of r into any of the expression:

\begin{gathered} ar\text{ =  18} \\ a\text{ }\times\text{ 2 =  18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}

Hence, the explicit rule for the sequence is:

a_n\text{ = 9\lparen2\rparen}^{n-1}

5 0
1 year ago
Jada can bake 12 cookies in 30 minutes. at this rate, how long will it take her to bake 144 cookies?
Dennis_Churaev [7]
6 hours
. . . . . . . . . . . . . . . . . . . 
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3 years ago
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In 2008 Yolanda paid 4873 in social security tax. If the Social Security tax rate was 6.2% to the maximum income and 94,200 that
harina [27]

Answer:

IM A PLAYA FORGIVE ME LOLOL

8 0
2 years ago
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I need answers fast plsss
Nonamiya [84]

Answer:

1/6

Step-by-step explanation:

the form you're using is slope-intercept. That is

y=mx+b

where y= y coordinate

m=slope

x= x coordinate

and b= y intercept

so, m in that equation is 1/6, so the slope is 1/6

Hope this helps!

6 0
2 years ago
Need solved fast! I can’t do it!!
sergeinik [125]

Answer:

<u>Please read below.</u>

Step-by-step explanation:

The instructions were followed, horizontal or vertical path and never diagonal:

75 76 81 66 65 14 13 8 7

74 77 80 67 64 15 12 9 6

73 78 79 68 63 16 11 10 5

72 71 70 69 62 17 2 3 4

55 56 57 58 61 18 1 22 23

54 53 52 59 60 19 20 21 24

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