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Artyom0805 [142]
9 months ago
14

What is the 20th term of 64,67,70,73,76

Mathematics
1 answer:
PIT_PIT [208]9 months ago
6 0

Let's analyze the increments for each step of the sequence:

Each step we add 3 to the previous number.

Since we need the 20th, from what we saw, in the 20th term we will have added three 20 times.

So the procedure is: calculate how much is 3 times 20 and then add that to the first term of the sequence.

3\times20=60

So we add 60 to the first term to find the 20th term:

64+60=124

Answer: 124

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\sin2\theta=2\sin\theta\cos\theta=2\cdot\dfrac{3}{5}\cdot\dfrac{4}{5}=\dfrac{2\cdot3\cdot4}{5\cdot5}=\dfrac{24}{25}\\\\\\\cos2\theta=\cos^2\theta-\sin^2\theta=\left(\dfrac{4}{5}\right)^2-\left(\dfrac{3}{5}\right)^2=\dfrac{16}{25}-\dfrac{9}{25}=\dfrac{7}{25}\\\\\\&#10;\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=\dfrac{\frac{24}{25}}{\frac{7}{25}}=\dfrac{24\cdot25}{7\cdot25}=\dfrac{24}{7}=3\dfrac{3}{7}
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Read 2 more answers
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