Arithmetic sequence
5,3,1,-1 find a^18

Answers

Answer 1
Answer:

Arithmetic sequence  5, 3, 1, -1 then value of a^18 is 3814697265625.

Solution:

Given, arithmetic sequence is 5, 3, 1, -1

We have to find the value of a^(18)  

We know that, first term of any A.P is represented by the letter “a”

So, here in our problem first term a = 5

Then we have to find the value of  5^(18)

5^(18)=5^(4+4+4+4+2)=5^(4) * 5^(4) * 5^(4) * 5^(4) * 5^(2)

\text { since } a^(m+n)=a^(m) * a^(n)

\begin{array}{l}{=625 * 625 * 625 * 625 * 25} \n\n {=390625 * 390625 * 25} \n\n {=152587890625 * 25} \n\n {=3814697265625}\end{array}

Hence, the value of a^18 is 3814697265625.

Answer 2
Answer:

Final answer:

The 18th term of the arithmetic sequence is -29.

Explanation:

An arithmetic sequence is a sequence in which the difference between any term and its preceding term is constant. In this case, the common difference is -2, because each term is decreased by 2 to get the next term. To find the 18th term, we can use the formula:

an = a1 + (n-1)d

where an is the term we want to find, a1 is the first term, n is the position of the term, and d is the common difference.

Using the given sequence, we can substitute the values into the formula:

a18 = 5 + (18-1)(-2) = 5 + 17(-2) = 5 - 34 = -29

Therefore, the 18th term of the given arithmetic sequence is -29.

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Jana has a number cube numbered 1 to 6. She plans to roll the cube 78 times. Predict the number of times Jana will roll a 2.

Answers

The number of times Jana will roll a 2 will be 13.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Jana has a number cube numbered 1 to 6.

When Jana rolls the number cube 1 time, there is an equal chance of getting each number.

Probability that the number is 2 = 1/6

So, there is a 1/6 probability that the number rolled is 2.

Jana plans to roll the cube 78 times.

So the number of times Jana will roll a 2 = 78 × (1/ 6) = 13

Hence the number of times that Jana will roll a 2 in the number cube is predicted as 13.

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13 times

78/6 = 13 is probability.

Hope i become the brainliest.

6/7 and 18/21 are the ratios equivalent.

Answers

18/21 is the same as 6/7 when it is reduced by 3
so yes, they are equivalent

How to make 4 3/8 in simplest form

Answers

According to my knowledge, that mixed number already is in its simplest form. Turn it back into a fraction and it isn't divisible. A mixed number and 3 can't be divided perfectly by 8 or anything in common. So 4 3/8 is already in it's simplest form.

Luke is 5 years younger than 3 times in Sydney's age in the situation what does 3s represnt

Answers

3s is 3 times sydneys age. so the equation would be 3s-5

Which expression can be used to find 15% of 20?

Answers

Answer:

Expression:  0.15 * 20

Equation: 0.15 * 20 = 3

Step-by-step explanation:

This expression was found by dividing 15% by 100 to convert it into a decimal (0.15) that can be used to multiply with 20 to get your answer.

Answer:

0.15 × 20

Step-by-step explanation:

I got it right on edge

What is four divided by five/sixths

Answers

To work this particular problem I would first cover 4 in to a fraction which would be 8/2. Next you will multiple by the reciprocal of 5/6, which would be 6/5.

8/2 * 6/5 = 48/10. This then reduces to 24/5 or 4 4/5.
If this is correct your problem looks like: 5/6 ÷ 4. Well each (pie) would have 1/6 left of course. So add those up.........4/20 or 4/2. I did it and got both. :(
I still hope this helps! :D