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2 years ago

What’s the fifth term of a sequence whose first term is 5 and whose common ratio is 3?

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

4 0

Answer:

405.

Step-by-step explanation:

This is a geometric sequence where the nth term = a1 r^(n -1).

Here a1 = 5 and r = 3 so

the fifth term a5 = 5(3)^(5-1)

= 5 * 81

= 405.

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denis23 [38]

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2 years ago

What two numbers add to 13 but multiply to negative 12?

Phoenix [80]

9514 1404 393

Answer:

13.8654599313 and -0.8654599313

Step-by-step explanation:

If one of the numbers is x, then the other is 13-x, and their product is ...

x(13 -x) = -12

x^2 -13x = 12 . . . . multiply by -1 and simplify

x^2 -13x +6.5^2 = 12 +6.5^2 . . . . complete the square

(x -6.5)^2 = 54.25

x -6.5 = √54.25

x = 6.5 +√54.25 ≈ 13.8654599313

and the other number is ...

13 -x = 13 -13.8654599313 = -0.8654599313

The two numbers are 13.8654599313 and -0.8654599313.

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2 years ago

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2 years ago

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Andrew's class took a field trip to the art museum. It took them 18 minutes to drive to the museum. They stayed at the museum fo

Umnica [9.8K]

Answer:

7:56 A.M.

Step-by-step explanation:

1 hour and 59 mins = 119 mins

119+18 = 137

137/60 = 2 r 17

(10 - 2 = 8) - 17/60

Therefore they left at 7:56 A.M.

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2 years ago

The sum of three consective nimbers is 54. What is the smallest of these numbers.

storchak [24]

Answer; 17, 18 and 19

Explanation:

Number = x , x + 1 , x + 2

x + x + 1 + x + 2 = 54

3x + 3 = 54

3x = 51

x = 17

x + 1 = 18

x + 2 = 19

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3 years ago