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IceJOKER [234]
4 years ago
14

A sequence is defined by the following:

Mathematics
2 answers:
katrin2010 [14]4 years ago
6 0

Answer:

Step-by-step explanation:

a1 = 6

a2 = -1.2*a_(n-1)

a2 = -1.2*a_1

a2 = -1.2 * 6

a2 = -7.2

a3 = -1.2*a_(n-1)

a3 = -1.2*a_2

a3 = -1.2 * - 7.2

a3 = 8.64

a4 = -1.2 * a_3

a4 = -1.2 * 8.64

a4 = -10.368

AleksandrR [38]4 years ago
5 0

Answer:  The correct option is (B) -10.368.

Step-by-step explanation:  Given that a sequence is defined b the following :

a_1=6,~~~a_n=-1.2a_{n-1}.

We are to find the 4-th term.

To find the fourth term, we need to start from finding the first term.

If n = 2, then the second term is given by

a_2=-1.2\times a_1=-1.2\times 6=-7.2.

If n = 3, then the third term is given by

a_3=-1.2\times a_2=-1.2\times (-7.2)=8.64.

If n = 4, then the fourth term is given by

a_4=-1.2\times a_3=-1.2\times 8.64=-10.368.

Thus, the fourth term of the given sequence is -10.368.

Option (B) is CORRECT.

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Construct a dotplot for the following data. 4.85 4.94 5.12 5.14 4.80 4.99 5.19 4.94 4.85 5.12 5.04 4.96 5.28 5.05 4.83 5.27 5.12
IrinaK [193]

Answer:

x             frequency

4.8        1

4.83       1

4.85     2

4.89     1

4.91     1

4.94    2

4.96   1

4.99   1

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5.27     1

5.28     1

find the dot plot as attached below

Step-by-step explanation:

Construct a dotplot for the following data. 4.85 4.94 5.12 5.14 4.80 4.99 5.19 4.94 4.85 5.12 5.04 4.96 5.28 5.05 4.83 5.27 5.12 5.19 4.89 5.15 5.04 5.17 5.24 5.04 4.91 5.26

Rearranging the data into frequency table

x             frequency

4.8        1

4.83       1

4.85     2

4.89     1

4.91     1

4.94    2

4.96   1

4.99   1

5.04    3

5.05    1

5.12    3

5.14   1

5.15   1

5.17   1

5.19   2

5.24    1

5.26     1

5.27     1

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Proof:
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