Write the first four terms of a sequence given the recursive rule below:

Mathematics

1 answer:

777dan777 [17]3 years ago

5 0

Answer:

The first four terms of the sequence is : A) 7, 17, 37, 77.

Step-by-step explanation:

The given function f(n) = 2 x f(n − 1) + 3

Also, f(1)= 7

FOR n= 2

f(2) = 2 x f(2-1) + 3 = 2 x f(1) + 3

= (2 x 7) + 3 = 14 + 3 = 17

⇒f(2) = 17

FOR n= 3

f(3) = 2 x f(3-1) + 3 = 2 x f(2) + 3

= (2 x 17) + 3 = 34 + 3 = 37

⇒f(3) = 37

FOR n= 4

f(4) = 2 x f(4-1) + 3 = 2 x f(3) + 3

= (2 x 37) + 3 = 74 + 3 = 77

⇒f(4) =77

So, the first four terms of the sequence are 7, 17, 37, 77.

A) is the correct option.

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On a clear day you can see about 25.2 miles from the upper observation platform of the Eiffel tower in Paris. Using the formula

fredd [130]

Answer:

D. 914 feet

Step-by-step explanation:

We are given the distance that a person can see on a clear day from the upper observation platform of the Eiffel tower in Paris. We are then required to estimate the height of the upper observation platform using the formula;

$d=\frac{5}{6}\sqrt{h}$

Where d is the distance and h the height of the upper observation platform. The first step would be to solve for h, that is make h the subject of the formula in the above equation;

We multiply both sides of the equation by the reciprocal of 5/6 which is 6/5;

$\sqrt{h}=\frac{6}{5}d$