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Wittaler [7]
3 years ago
10

Find the first four terms for the arithmetic sequence given a1 = 6 and d = 5

Mathematics
1 answer:
DENIUS [597]3 years ago
7 0

Answer:

6, 11, 16, 21

Step-by-step explanation:

To obtain the first 4 terms add the common difference 5 to the previous term, that is

a₁ = 6

a₂ = a₁ + 5 = 6 + 5 = 11

a₃ = a₂ + 5 = 11 + 5 = 16

a₄ = a₃ + 5 = 16 + 5 = 21

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The position s(t) of a robot moving along a track at time t is given by s(t)=9t^2−90t+4.
Xelga [282]

The total distance traveled by the robot from t=0 to t=9 is 1422 units

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Given that the position s(t) at any time t is given by the function:

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Therefore:

Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units

The total distance is 1422 units

Find out more at: brainly.com/question/22008756

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Including 6% sales tax, an inn charges $135.68 per night. Find the inns nightly cost
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