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hjlf
3 years ago
5

Write an explicit formula for An, the nth term of the sequence 15, 8, 1, ....

Mathematics
2 answers:
maks197457 [2]3 years ago
6 0

Answer:

a_{n} = 22 - 7n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

8 - 15 = 1 - 8 = - 7

This indicates the sequence is arithmetic with explicit formula

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 15 and d = - 7 , then

a_{n} = 15 - 7(n - 1) = 15 - 7n + 7 = 22 - 7n ← explicit formula

ipn [44]3 years ago
4 0

Answer:

b(n) = 15 - 7(n - 1)

Step-by-step explanation:

15 is the y-intercept

-7 is the slope

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The measure of angle X is 18 more than three times the measure of its complement. Find the measure of angle X. 
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The complement of an angle is 90 minus the angle, or

90 - x = complement angle

if x is 18 more than 3 times it's complement, then

x = 3(complement angle) + 18

We can substitute "90 - x" for the "complement angle" in the second equation:

x = 3(90 - x) + 18

distribute the 3 to the 90 and the x

x = 270 - 3x + 18 

add 3x to both sides

4x = 270 - 18
4x = 252
x = 63

the measure of angle x is 63 degrees
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3 years ago
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Travka [436]
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3 years ago
What is X equal to? <br> Urgent! Middle school work
natka813 [3]

Answer:

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tatiyna

Answer:

7% and 5%

Step-by-step explanation:

The computation of the two rates of interest is shown below;

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