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4 years ago

For a sequence an=an-1+an-2 and a1=1, a2=2, find its first four terms

Mathematics

1 answer:

ASHA 777 [7]4 years ago

7 0

Answer:

3, 5, 8, 13

Step-by-step explanation:

aₙ = aₙ₋₁ + aₙ₋₂

a₃ = a₂ + a₁ = 2 + 1 = 3

a₄ = a₃ + a₂ = 3 + 2 = 5

a₅ = a₄ + a₃ = 5 + 3 = 8

a₆ = a₅ + a₄ = 8 + 5 = 13

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Which of the following weights would you expect to be suitable for weighing on an ordinary bathroom scale?

Ierofanga [76]

Answer:

c) $4.10^{6} cg$ =40Kg

Step-by-step explanation:

To find the answer we have to put all the options in the same unit, so we are going to use Kg.

a) 2500 μg

μ $=1.10^{-6}$

Replacing the value of μ:

$2500.1.10^{-6} g=\\ 2500.10^{-6} g$

<u><em>Observation:</em></u> 1 g = 0.001 Kg, 1 g= $1.10^{-3}$ Kg

$2500.10^{-6} g=\\ =2500.10^{-6}.10^{-3}Kg\\=2500.10^{-9}Kg$

$2500.10^{-9}Kg=0.000002500 Kg$

This number is very small so it's no suitable for weighing on an ordinary bathroom scale.

b) $5.10^{-4}Kg$

This value is already in kilograms,

$5.10^{-4} kg=0,0005 Kg$

But it's small. It's not suitable for weighing on an ordinary bathroom scale.

c) $4.10^{6} cg$

Centigrams: cg= $1.10^{-5} Kg$

Then,

$4.10^{6} cg=4.10^{6}.10^{-5}Kg\\ =4.10^{1} Kg\\ =40 Kg$

This value it's suitable for weighing on an bathroom scale.

d) $5,5.10^{8} dg$

Decigrams: dg= $1.10^{-4} Kg$

Then,

$5,5.10^{8} dg=5,5.10^{8}.10^{-4}Kg\\ =5,5.10^{4} Kg\\ =55000 Kg$

This value is too big for a bathroom scale. Usually the limit for an ordinary bathroom scale is between 140-150 Kgs.

e) $2,0.10^{7} mg$

Miligrams: mg= $1.10^{-6} Kg$

Then,

$2,0.10^{7} mg=2,0.10^{7}.10^{-6}Kg\\ =2,0.10^{1} Kg\\ =20 Kg$

This could be a right answer too but it all depends on the scale. There are some scales whose minimum weight is 30Kg. So the right answer is c)

5 0

4 years ago

A flowerpot has a circular base with a diameter of 27 centimeters. Find the circumference of the base of the flowerpot. Round to

balandron [24]

C = πd
= (3.14)(27)
= 84.78 cm

7 0

3 years ago

my friend and i made balls of snow all morning. by night fall we had build 13 snowmen. how many balls of snow did we make

Zigmanuir [339]

Answer:

Step-by-step explanation:

113x3=39

4 0

4 years ago

Read 2 more answers

Te 57°29'38" + 16°39'44"

djyliett [7]

well, let's see, let's start off with the seconds then minutes and lastly degrees.

seconds

38" + 44" = 82" , but since 60" is 1', 82" is really 1' and 22"

minutes

29' + 39' = 68' , now, let's add the 1' and 22" to that, that'd make it 69' and 22", but we know that 60' is 1°, so 69' and 22" is really 1° 9' and 22".

degrees

57° + 16° = 73° , and now let's add the 1° 9' 22", that'd make it 74° 9' 22".

5 0

3 years ago

The mean weight of NINE players on a Basketball team is 177 POUNDS. Find the total weight of the nine players.

Nikolay [14]

Answer:

The total weight is 1593 lbs.

Step-by-step explanation:

177*9 = 1593

3 0

2 years ago

For a sequence an=an-1+an-2 and a1=1, a2=2, find its first four terms​

For a sequence an=an-1+an-2 and a1=1, a2=2, find its first four terms