Select the explicit formula for the sequence that correspond to this geometric series: 6 + 18 + 54 + 162 + 486 ak = 6 • 3k – 1
ak = 3 • 6k – 1
ak = 6 • 3k
ak = 3 • 6k

Answers

Answer 1

Answer:

The explicit formula for the sequence that correspond to this geometric series: 6 + 18 + 54 + 162 + 486 is $a_(k)=6.(3)^k^-^1$

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given geometric series is 6 + 18 + 54 + 162 + 486

a is the first term which is 6

Let us find the common ratio r which is 18/6 =3

The general form of geometric sequence is a $a_(k)=a.(r)^k^-^1$

Let us plug in the values of a and r in the above formula

$a_(k)=6.(3)^k^-^1$

Hence, the explicit formula for the sequence that correspond to this geometric series: 6 + 18 + 54 + 162 + 486 is $a_(k)=6.(3)^k^-^1$

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Answer 2

Answer:

Answer: ak=6•3k-1

Step-by-step explanation:

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3x-3=2x

Please help me...?
10 points given

Answers

3x - 3 = 2x

Add 3 on both sides

3x - 3 + 3 = 2x + 3
3x = 2x + 3

Subtract 2x on both sides

3x - 2x = 2x + 3 - 2x
3x - 2x = 3
x = 3

So, your final answer is x = 3.

$3x-3=2x \n \n -3 = 3x - 3x \ / \ subtract \ 3x \ from \ each \ side \n \n -3 = -x \ / \ simplify \n \n 3 = x \ / \ multiply \ each \ side \ by \ -1 \n \n x = 3 \ / \ switch \ the \ sides \n \n Answer: \fbox {x = 3}$

What is the product of 2,830 and 3

Answers

The answer is 8490. 2830 times 3=8490

The product of 2,830 and 3 is (6,490)
Hope this helps!

the first term in a sequence is an odd number the rule is to multiply by 2 explain why the rest of the terms in the sequence will be even numbers.

Answers

If you do that, then 2 will be a factor of all the terms after the first one.
And any number that has 2 as a factor is an even number.

Describe the mental math steps you would use to find 7 (42)

Answers

Break 42 into 40 + 2. Multiply 40 x 7=280 and 2 x 7=14. Then add 280 + 14 = 294.

If you want to do step by step, you should start by breaking 42 into 40 and 2.
Then you multiply 7 by both 40 and 2. 7 times 40 is 280. 7 times 2 is 14. You could then add the two products and you get 294.
Or you could simply multiply 7 times 42.

A cup of Alfredo sauce contains 21.94 g of protein. How many grams of protein are in 2.5 cups of Alfredo sauce?

Answers

54.85 grams of Alfredo sauce are in 2.5 cups

you make homemade lip balm about 11% of the lip balm is made from beeswax you make 4 2/5 teaspoons of of the lip balm about how many teaspoons of beeswax do you need Round r answer to the nearest 10th