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Ivahew [28]
3 years ago
14

Which one of the following is a Geometric Sequence?

Mathematics
2 answers:
MAVERICK [17]3 years ago
8 0
Letter d is s geometric sequence. You multiply or divide by the same number (r), common ratio to be a geometric sequence
scoundrel [369]3 years ago
6 0
<h2>Answer:</h2>

The geometric sequence among following is:

         Option: B

         8 , 4 , 2 , 1 , 1/2 , 1/4 ,.....

<h2>Step-by-step explanation:</h2>

Geometric sequence--

A sequence is said to be a geometric sequence if each of the number in the sequence is a constant multiple of the preceding term in the sequence.

This constant multiple is known as the common ratio (r)

i.e. the sequence is given by:

a,ar,ar²,ar³,.....

A)

0,1,2,3,......

It is a arithmetic sequence and not a geometric sequence .

Since, each of the term is increasing by 1 as compared to the preceding term of the sequence.

B)

8,4,2,1,1/2,1/4,.....

It is a geometric sequence.

Since, each term of the sequence is a constant multiple of 1/2 of the preceding term of the sequence.

i.e. 8×(1/2)=4

4×(1/2)=2

2×(1/2)=1

1×(1/2)=1/2

and so on.

i.e. the common ratio is: 1/2

C)

-7,10,23,36,.....

This is not a geometric sequence.

Since,

-7\times \dfrac{-10}{7}=10

but

10\times \dfrac{-10}{7}\neq 23

D)

2,-3,9/2,-18/4

Here

2\times \dfrac{-3}{2}=-3

-3\times \dfrac{-3}{2}=\dfrac{9}{2}

but

\dfrac{9}{2}\times \dfrac{-3}{2}=\dfrac{-27}{4}\neq \dfrac{-18}{4}

Hence, it is not a geometric sequence.

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A belt and a pair of pants cost $490 altogether. A bag costs twice as much
m_a_m_a [10]

Answer:

$196

Step-by-step explanation:

Lets assume,

cost of a belt = 'x'

cost of a pair of pants = 'y'

Now, According to the question;

  1. x + y = 490;
  2. cost of a bag = twice the cost of belt = 2x;
  3. cost of a pair of pants = twice the cost of bag

    ⇒ y = 2×2x ⇔ 4x

hence, by subtituting the values in equation' we get;

⇒ x + 4x = 490

⇒ 5x = 490

⇒ x = 98

So, the difference between the cost of the pair of pants and the bag ;

⇒ y - 2x

⇒ 4x - 2x

⇒ 2x = 2×98 = 196.

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