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Hitman42 [59]
3 years ago
14

What is the common ratio between successive terms in the sequence? 27, 9, 3, 1, one-third, one-ninth, StartFraction 1 over 27 En

dFraction, ... –3 – 3
Mathematics
2 answers:
Kipish [7]3 years ago
8 0

Answer:

\frac{1}{3}

Step-by-step explanation:

The given sequence is

27, 9, 3, 1

This sequences comprehend a geometric sequence, because it's obtained by dividing each element by 3, as follows

\frac{27}{3}=9\\\\\frac{9}{3}=3\\ \\\frac{3}{3}=1

Therefore, the reason is \frac{1}{3}, which consists in dividing each term by 3, it's the same if we multiply each term by \frac{1}{3}.

So, the right choice is the first option, one-third.

hichkok12 [17]3 years ago
3 0

Answer:

One third.

Step-by-step explanation:

Common ratio = 9/27 = 1/3

3/9 = 1/3

1/3 = -/3.

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Punctele O, A, B, C sunt coliniare în această ordine, iar segmentele OA, AB și BC au lungimile exprimate în cm, prin numere natu
julia-pushkina [17]

Răspuns:

a) OC = 18cm

b) MN = 6cm

Explicație pas cu pas:

Găsiți diagrama la întrebarea atașată.

a) Din diagramă se poate observa că OC = OA + AB + AC

OC = 2n + 2n + 2 + 2n + 4

OC = 6n + 6

Următorul este să obțineți valoarea lui n:

OM = OA + AM

Să obținem segmentul AM;

Deoarece M este segmentul mijlociu al AC, atunci;

AM = AC / 2

AM = AB + BC / 2

AM = 2n + 2 + 2n + 4/2

AM = 4n + 6/2

AM = 2n + 3

Din moment ce OM = OA + AM

OM = 2n + 2n + 3

OM = 4n + 3

Dat fiind OM = 11

11 = 4n + 3

4n = 11-3

4n = 8

n = 2

Următorul pas este să calculați OC;

OC = 6n + 6

OC = 6 (2) + 6

OC = 18

Prin urmare, lungimea segmentului OC este de 18 cm

b) Această întrebare ne cere să găsim segmentul de linie MN.

Din diagramă, MN = AM - AN

Deoarece AM = 2n + 3 din întrebarea 1;

AM = 2 (2) +3

AM = 4 + 3

AM = 7

Acum, să obținem AN:

Din diagramă, AN = ON-OA și ON = OB / 2

AN = OB / 2 - OA

AN = (2n + 2n + 2) / 2 - 2n

AN = 4n + 2/2 - 2n

AN = 2n + 1 - 2n

AN = 2n-2n + 1

AN = 1

De la MN = AM - AN

MN = 7 - 1

MN = 6cm

Prin urmare, distanța dintre N, mijlocul segmentului OB și punctul M este de 6cm

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Answer:

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Hope it helps

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Verdich [7]
8 in 2.408 is closer to 10, so you round 2.408 to 2.41
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Answer:

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