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DIA [1.3K]
3 years ago
13

Find the 100th term of the following arithmetic sequence 5.5, 6, 6.5, 7, ...

Mathematics
2 answers:
AysviL [449]3 years ago
8 0

Answer:

  55

Step-by-step explanation:

The n-th term of an arithmetic sequence is given by the formula ...

  an = a1 + d(n -1)

where a1 is the first term (5.5) and d is the common difference (0.5).

So, the n-th term is ...

  an = 5.5 +0.5(n -1) = 5.0 +0.5n

For n = 100, the term is ...

  a100 = 5.0 +0.5(100) = 55

The 100th term of the sequence is 55.

riadik2000 [5.3K]3 years ago
5 0

Answer:

55.

Step-by-step explanation:

The explicit formula for the nth term is  a1 + d(n - 1).

Here d = 6 - 5.5 = 0.5 and a1 = 5.5.

So the 100th term = 5.5 + 0.5(100-1)

= 55.

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Answer:

3:45 PM

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The least common multiple of 3, 5, and 6 is 30, so the next occurrence will be 30 minutes after 3:15 PM, at 3:45 PM.

4 0
2 years ago
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3 years ago
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A pit was dug in the shape of a cuboid with a dimension 10m×8m×3m. The earth taken out is spread evenly on a rectangular plot of
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hey buddy here is your answer!

Volume of a cuboid = l × b × h

Volume of earth dug out = 10 × 8 × 3 = 240 m^3

Volume of earh dug = 40 × 30 × height of the rectangular plot

240 = 40 × 30 × h

240 = 1200 × h

240 = 1200h

h = 240 / 1200 = 20 / 100 = 1 / 5 = 0.2

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6 0
2 years ago
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zubka84 [21]

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7 0
3 years ago
a local movie theater charges $6 for each adult ticket and $3.50 for each child ticket. It's a theater sold a total of 65 adult
anzhelika [568]

Answer:

45 adult tickets sold

Step-by-step explanation:

let c be each child ticket sold and a be the adult tickets sold

6a+3.50c=340 represents the cost while a+c=65 is the tickets sold

if you solve by elimination you have to multiply the second equation by -3.50 to get a new equation of -3.50a-3.50c=-227.50 then you subtract both equations and get 2.5a=112.5 the you divide both sides by 2.5 to get a=45

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3 years ago
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