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Serggg [28]
4 years ago
9

What is the pattern as the exponents decrease?

Mathematics
1 answer:
Nana76 [90]4 years ago
4 0
Can we see the patern please
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Plzzzzzzzzz help ASAP
grigory [225]

Answer: 39

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The 10th term in the sequence is 2560 what is the 11th term in the sequence
joja [24]

Full Question:

The 4th term of a g.p. is 40 and the 10th term in the sequence is 2560, what is the 11th term in the sequence ?

Answer:

the 11 the term is 5120

Step-by-step explanation:

Given

Geometry Progression

4th term = 40

10th term = 2560

Required

11 term.

The nth term of a geometric sequence is calculated as follows

Tₙ = arⁿ⁻¹

For the 4th term, n = 4 and Tₙ = 40

Substitute these in the given formula; this gives

40 = ar⁴⁻¹

40 = ar³. --;; equation 1

For the 10th term, n = 10 and Tₙ = 2560

Substitute these in the given formula; this gives

2560 = ar¹⁰⁻¹

2560 = ar⁹. --;; equation 2

Divide equation 2 by 1. This gives

2560/40 = ar⁹/ar³

64 = r⁹/r³

From laws of indices

64 = r⁹⁻³

64 = r⁶

Find 6th root of both sides

(64)^1/6 = r

r = (2⁶)^1/6

r = 2

Substitute r = 2 in equation 1

40 = ar³. Becomes

40 = a * 2³

40 = a * 8

40 = 8a

Divide both sides by 8

40/8 = 8a/8

5 = a

a = 5.

Now, the 11 term can be solved using Tₙ = arⁿ⁻¹ where n = 11

So,

Tₙ = arⁿ⁻¹ becomes

Tₙ = 5 * 2¹¹⁻¹

Tₙ = 5 * 2¹¹⁻¹

Tₙ = 5 * 2¹⁰

Tₙ = 5 * 1024

Tₙ = 5120.

Henxe, the 11 the term is 5120

5 0
3 years ago
. The probability that a patient catches flu is 3/8, the probability that he has a headache
igomit [66]

Answer:

\boxed {\frac{343}{360}}

Step-by-step explanation:

<u>Probability Rule</u> :

\boxed {P(A\cup B \cup C) = P(A) + P(B) + P(C) - P(A \cap B \cap C)}

<u>Solving</u> :

⇒ 3/5 = 3/8 + 5/15 + 4/9 - P (A ∩ B ∩ C)

⇒ P (A ∩ B ∩ C) = 3/8 + 1/3 + 4/9 - 1/5

⇒ P (A ∩ B ∩ C) = 135/360 + 120/360 + 160/360 - 72/360

⇒ P (A ∩ B ∩ C) = (135 + 120 + 160 - 72) / 360

⇒ P (A ∩ B ∩ C) = 343/360

3 0
2 years ago
What is 6 yards in inches
Blababa [14]

1 yard = 3 feet

1 foot = 12 inches

So: 6 * 3 = 18 feet

And: 18 * 12 = 216 inches


Hope this helps. :)

3 0
3 years ago
Read 2 more answers
Ajug contains 42 liters of milk. How
katovenus [111]

Based on the information given the number of milliliters of milk does it contain is 42,000 mL.

1 liter=1000 ml

Using this formula

Number of milliliters=Number of liters×1,000 ml

Where:

Number of liters=42 liters

Let plug in the formula

Number of milliliters=42 liters×1,000 ml

Number of milliliters=42,000 ml

Inconclusion  the number of milliliters of milk does it contain is 42,000 mL.

Learn more about milliliters here:brainly.com/question/1295017

6 0
2 years ago
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