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3 years ago

each term of a sequence is 2 more than the previous term. if the third term is 8 find the first five terms of the sequence

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

6 0

Step-by-step explanation:

T3=8

8=a+2d

where a is first term ,d is common ratio

8=a+2(2)

8=a+4

a=8-4

a=4

first term T1 is 4

T2=a+d

T2=4+2

T2=6

T4=a+3d

T4=4+3(2)

T4=4+6

T4=10

T5=a+4d

T5=2+4(2)

T5=4+8

T5=12

4,6,8,10,12

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A fountain, 3 ft in diameter, sits in the center os a circular duck pond. The pond measures 3 ft from the fountain to its edge.

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Answer:

$56.55\ ft^2$

Step-by-step explanation:

We know that the diameter of the fountain is 3 feet and that it is in the center of the pond.

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where r is the radius of the circumference.

further

d = 2r

Where d is the diameter of the circumference.

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The radius $r_2$ of the pond is 1.5 + 3 = 4.5 ft

Finally the area of the pond is equal to the area of the ring that is shown in the image

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2 years ago

Dylan delivers parcels.

vovikov84 [41]

Answer:

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Step-by-step explanation:

On Wednesday:

On Wednesday, he delivered x parcels.

Thursday:

10% more than Wednesday, so 100 + 10 = 110% of x = 1.1x

Friday:

50% pless than on Thursday, so 100 - 50 = 50% of 1.1x = 0.5*1.1*x.

THis is equals to 77. So

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