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3 years ago

1,3,9,27 what are the next 5 numbers? and what is the nth term please show working out

Mathematics

2 answers:

statuscvo [17]3 years ago

3 0

Answer:

Step-by-step explanation:

TEA [102]3 years ago

3 0

Answer:

81, 243, 729, 2187, 6561

Step-by-step explanation:

Note that the

third term 9 = 3²

fourth term 27 = 3³

Thus to obtain a particular term in the sequence we require the exponent to be one less than the terms position n in the sequence, that is

$a_{n}$ = $3^{n-1}$ , thus

first term 1 → $3^{1-1}$ = $3^{0}$ = 1

The next 5 terms in the sequence are

$a_{5}$ = $3^{5-1}$ = $3^{4}$ = 81

$a_{6}$ = $3^{6-1}$ = $3^{5}$ = 243

$a_{7}$ = $3^{7-1}$ = $3^{6}$ = 729

$a_{8}$ = $3^{8-1}$ = $3^{7}$ = 2187

$a_{9}$ = $3^{9-1}$ = $3^{8}$ = 6561

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Two trains 500 miles apart accidentally are on the same track heading toward each other. The passenger train is traveling 80 mph

Natalka [10]

Answer:

2 miles

Step-by-step explanation:

Their combined speed (speed of closure) is 80 mph + 40 mph = 120 mph.

120 mi/h = 120 mi/(60 min) = 2 mi/min

The distance between the trains at the 1-minute mark is ...

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3 years ago

Complete the proportion table below and graph the results

myrzilka [38]

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3 years ago

I need help please I don’t understand

defon

9514 1404 393

Answer:

1. ∠EDF = 104°

2. arc FG = 201°

3. ∠T = 60°

Step-by-step explanation:

There are a couple of angle relationships that are applicable to these problems.

the angle where chords meet is half the sum of the measures of the intercepted arcs
the angle where secants meet is half the difference of the measures of the intercepted arcs

The first of these applies to the first two problems.

1. ∠EDF = 1/2(arc EF + arc UG)

∠EDF = 1/2(147° +61°) = 1/2(208°)

∠EDF = 104°

2. ∠FHG = 1/2(arc FG + arc ES)

128° = 1/2(arc FG +55°) . . . substitute given information

256° = arc FG +55° . . . . . . multiply by 2

201° = arc FG . . . . . . . . . subtract 55°

3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.

∠T = 1/2(arc FS -arc US)

∠T = 1/2(170° -50°) = 1/2(120°)

∠T = 60°

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3 years ago

Find the accumulated value of an investment of $7000 at 12% compounded semiannually for 12 years.

Mashcka [7]

Answer:

$28,342.54

Step-by-step explanation:

The value of an account earning compound interest is found using the formula ...

A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

You have P=7000, r=0.12, n=2, t=12.

Using these values in the formula, we find the accumulated value of the investment to be ...

A = 7000(1 +0.12/2)^(2·12) = 7000(1.06^24) ≈ 28,342.54

The value after 12 years is $28,342.54.

_____

<em>Additional comment</em>

The time-value-of-money functions of your calculator or spreadsheet can find this for you.

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Mademuasel [1]

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3 years ago