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garri49 [273]
3 years ago
12

Find the nth term of a gp with (a. find term = 5, common ratio = 2​

Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0

Step-by-step explanation:

we know,

tn= a {(r)}^{n - 1}  \\ T5 = a {(2)}^{5 - 1}  \\ t5 = a \times  {2}^{4}  \\  = 16a

Therefore, nth term of a given gp is

16a

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<img src="https://tex.z-dn.net/?f=x1%2B2x2-x3%3D3%2C%202x1%2Bx2-2x3%3D1%2C%203x1%2B4x2-5x3%3D5" id="TexFormula1" title="x1+2x2-x
o-na [289]

Answer: x1 = 0; x2 = 5/3; x3 = 1/3

x1 + 2x2 - x3 = 3 => 2x1 + 4x2 - 2x3 = 6

                                2x1 + x2 - 2x3 = 1

=> 4x2 - x2 = 5

⇔ 3x2 = 5

⇔ x2 = 5/3

with x2 = 5/3, we have: x1 - x3 = 3 - 10/3 = -1/3

                                        3x1 - 5x3 = 5 - 4.5/3 = -5/3

=> x1 = 0

    x3 = 1/3

Step-by-step explanation:

7 0
2 years ago
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and
IRINA_888 [86]

Answer:

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 ) = 0.02145 = 2.1 %</em>

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

<u><em>Explanation</em></u>:-

Given mean of the Population 'μ ' = 51 months

Standard deviation of the Population 'σ' = 11 months

Let 'X' be the random variable of Normal distribution

<em>Let    'X'  = 73</em>

<em></em>Z = \frac{x-mean}{S.D} = \frac{73-51}{11} = 2<em></em>

<em>Let  'X' = 84</em>

<em></em>Z = \frac{84-51}{11} = 3<em></em>

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 )      = P( 2 < Z < 3)</em>

<em>                               = P( Z<3) - P( Z <2)</em>

<em>                              =  0.5 + A(3) - ( 0.5 + A(2))</em>

<em>                             = A(3) - A( 2)</em>

<em>                             = 0.49865 - 0.4772     ( From Normal table)</em>

<em>                             = 0.02145</em>

<em>  P( 73 < x < 84 ) = 0.02145</em>

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 ) = 0.02145 = 2.1 %</em>

7 0
3 years ago
I need answers ASAP!!
lesya [120]
What is the question?

7 0
3 years ago
Read 2 more answers
Helppp pleasee ibreally need it
igor_vitrenko [27]
-6a-5=-95  Given
-6(15)-5=-95   Substitution
a=15   idk the reason im not real good at this but i tried!
Hope you have a nice day

8 0
3 years ago
Read 2 more answers
I need it by morning and I need the work HELP!!!
valentina_108 [34]

1. 5/6 = 10/12

  3/4 = 6/8

2. 2/9 = 4/18

   4/12 = 1/3

3. 6/7 = 12/14

   1/2 = 2/4

4. 5/9 = 10/18

   3/18 = 1/6

5. 1/6 = 2/12

   1/9 = 2/18

6. 3/8 = 6/12

   5/6 = 10/12



8 0
3 years ago
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