3 years ago

3) Consider the sequence -11 ; 2sin3x ; 15; ...

Mathematics

1 answer:

DiKsa [7]3 years ago

8 0

9514 1404 393

Answer:

x = 30

Step-by-step explanation:

In an arithmetic sequence, any given term is the average of the two terms that come before and after. The middle term of this sequence must be ...

2sin(3x) = (-11 +15)/2

sin(3x) = 1 . . . . . . . . . . simplify and divide by 2

Then the value of 3x must be 90°, so ...

x = 90/3 = 30

There is one value of x in the interval [0, 90] that makes this sequence arithmetic: x = 30.

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