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natulia [17]
2 years ago
7

Find the 10th term of the geometric sequence

Mathematics
2 answers:
RUDIKE [14]2 years ago
5 0

Answer:

1835008

Step-by-step explanation:

7,28,112,448,1792,7168,28672,114688,458752,1835008

Irina-Kira [14]2 years ago
5 0

Answer:

1835008

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = 7 and r = 28 ÷ 7 = 4, thus

a_{10} = 7(4)^{9} = 7 × 262144 = 1835008

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Step-by-step explanation:

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Write each number as a product of the GCF and another sum. Then use the Distributive Property to rewrite the sum. 45 + 30 = (15
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Answer:

x=5/2

Step-by-step explanation:

Calculate, rewrite, remove the paretheses

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3 years ago
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3 years ago
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Train A and Train B start off at the same point and are traveling in the same direction. It takes Train A 30 minutes to get to S
kaheart [24]

Answer:

No difference

Step-by-step explanation:

The given parameters are;

The point Train A starts off = The point Train B starts off

The direction of travel of Train A = The direction of travel of Train B

The time it takes Train A to get to Station X, t₁ = 30 minutes = 0.5 hour

The speed of Train A, v₁ = 100 miles per hour

The time it takes Train B to get to Station Y, t₂ = 100 minutes = (5/3) hours

The speed of Train B, v₂ = 30 miles per hour

The distance from the starting point to Station X, d₁, is given as follows;

v₁ = d₁/t₁

∴ d₁ = v₁ × t₁

By substituting the known values, we have;

d₁ = 100 mph × 0.5 h = 50 miles

The distance from the starting point to Station Y, d₂, is given as follows;

v₂ = d₂/t₂

∴ d₂ = v₂ × t₂

By substituting the known values, we have;

d₂ = 30 mph × (5/3) h = 50 miles

Therefore;

The difference in the distances to Station X and Station Y = d₁ - d₂

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∴ The difference in the distances to Station X and Station Y = 0 (No difference).

6 0
3 years ago
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