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Paha777 [63]
3 years ago
13

Write the rule for the nth term of geometric sequence a1=6 and r=3

Mathematics
1 answer:
pychu [463]3 years ago
6 0

Step-by-step explanation:

Hey there!

Given;

a1 = 6

and r = 3

Then;

Let's see, we have a1 "first term" and r "common ratio". So, firstly use the formula.

nth \: term \: of \: geometric \: sries =  {a}^{} . {r}^{n - 1}

Now, keep all values.

nth = 6 \times  {3}^{n - 1}

So, it becomes like this.

Therefore, the rule is nth= 6*3^n-1.

<em>Hope</em><em> </em><em>it </em><em>helps</em><em>!</em>

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Find all the numbers such that the number added to itself is less than the number subtracted from 6
gizmo_the_mogwai [7]

Answer:

All numbers less than 2 or (-\infty, 1] or (-\infty, 2)

Step-by-step explanation:

Given that:

Number is added to itself is less than the number subtracted from 6.

To find:

All such numbers.

Solution:

Let the number be x.

Here, an inequality will be made.

When solved, it might give more than one answers.

As per the question statement, let us write the inequality.

Number added to itself \Rightarrow x +x =2x

Number subtracted from six = 6-x

As per question:

2x

So, the answer is:

All numbers less than 2 or (-\infty, 1] or (-\infty, 2).

4 0
3 years ago
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katrin [286]

Answer:

Should be in the picture linked.

Step-by-step explanation:

If the chart is labeled by five, ten, fifteen, and twenty at the bottom X axis for gallons, then this should be correct. If not, could you take another picture of the problem? I could redo it then. Hopefully I helped, good luck

4 0
3 years ago
What is the product of 5x10 to the power of 2
ratelena [41]

50^2 = 50 to the power of 2 = 2.5 × 10^3

Explanation:

(50) to the 2nd power or simply '50 to the 2nd' is obtained by multiplying 2 times the base 50 by itself. So,

50^2 = 50 × 50 = 2.5 × 10^3

Note: We say that 50 is the base, 2 is the exponent, and the whole thing or the result is a power of 50.

5 0
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Gnesinka [82]
The calculation uses the accumulated daily balance method (ADB).
We assume the statement is based on calendar month (rare!).

George owes $500 from beginning to end of June, so 30 days out of 30.
Interest accrued is 500*0.013*30/30=$6.50.
He also owes $2000 from June 12 to June 30, so 19 days inclusively.
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