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3 years ago

write the first four terms of the sequence defined by the given rule f (1) = 3, f(n) = [ f(n - 1)] ^2

Mathematics

2 answers:

AleksandrR [38]3 years ago

8 0

Answer:

3, 9, 81, 6561

Step-by-step explanation:

previous term × itself

EastWind [94]3 years ago

7 0

$\\ \sf\longmapsto f(n)=[f(n-1)]^2$

f(1)=3

$\\ \sf\longmapsto f(2)=(f(1))^2=3^2=9$

$\\ \sf\longmapsto f(3)=(f(2))^2=(9)^2=81$

$\\ \sf\longmapsto f(4)=(f(3))^2=(81)^2=6561$

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3 years ago

Two triangles are similar.The the smaller triangle has side 10,20 and 15 units the larger triangles longest side is 52 units.Wha

Oliga [24]

Answer: The perimeter of the largest triangle = 117 units.

Step-by-step explanation:

Sides of smaller triangle = 10,20 and 15 units

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Let k be proportionality constant.

$k=\dfrac{\text{Length in larger triangle}}{\text{Length in smaller triangle}}$

$k=\dfrac{52}{20}\\\\\Rightarrow\ k=\dfrac{13}{5}$

Length of other two sides,

$10\times\dfrac{13}{5}, 15\times\dfrac{13}{5}\ i.e.\ 26\text{ units}, 39\text{ units.}$

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Hence, the perimeter of the largest triangle = 117 units.

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3 years ago

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Aliun [14]

Answer:

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5 0

3 years ago

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goldenfox [79]

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3 years ago

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Gala2k [10]

Answer:

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3 years ago