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jek_recluse [69]
4 years ago
5

Fill in the gaps in this sequence: -8, -19, -30, _ , _. (Geometric and arithmetic sequences)

Mathematics
1 answer:
Alika [10]4 years ago
6 0

-8, -19, -30, -49 , -60

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

Here we have the following sequence :

-8, -19, -30, _ , _

  • First term of sequence is -8 .
  • Second term of sequence is -19 : -8-11 = -19
  • Third term of sequence is -30 : -19-11 = -30
  • Fourth term of sequence is : -30-11 = -49
  • Fifth term of sequence is : -49-11 = -60  

Following sequence was an AP( Arithmetic Progression ) with first term as -8 i.e. a = -8 and common difference d = -11 having general equation as : -8 -11n .

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Answer:

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Step-by-step explanation:

<u>PERIMETER</u><u> </u><u>OF</u><u> </u><u>ORIGINAL</u><u> </u><u>RECTANGLE</u>

  • Length of original rectangle = 4.5 mm
  • Width of original rectangle = 4.3 mm

<em>perimeter = 2 × ( length + width)</em>

= 2 × ( 4.5 + 4.3)

= 2 × 8.8

= 17. 6 mm

<u>SIDE</u><u> </u><u>LENGTH</u><u> </u><u>OF</u><u> </u><u>ENLARGED</u><u> </u><u>RECTANGLE</u>

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  • Width of enlarged rectangle = 24.3 mm

Enlargement factor = 24.3 / 4.5

= 5.4

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Side length of enlarged rectangle

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= 4.3 × 5.4

= 23. 22 mm

<u>PERIMTER OF ENLARGED RECTANGLE</u>

= 2 × ( enlarged ength + enlarged breadth)

= 2 × (23. 22 + 24. 3 )

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