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


Answer 1

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


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

Final answer:

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


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.

Learn more about Arithmetic sequence here:


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Explain how you would order from least to greatest three numbers that include a positive number, a negative number, and zero.
At the end of a snow storm,Allison saw there was a lot of snow on her front lawn.The temperature increased and the snow began to melt at a steady rate.After the storm,the snow started to melt at a rate of 0.75 inches per hour and is known that 4 hours after the storm ended,the depth of snow was down to 9inches.Write an equation for the function S(t),representing the depth of snow on Allison lawn,in inches,t hours after the snow stopped falling

at a harvest 16 ears of corn have been picked for every 18 peppers if 9 peppers have been picked how many ears of corn have been picked


The answer would be eight peppers because there are eighteen peppers for every sixteen ears of corn so half of eighteen would be nine therefore eight ears of corn have been picked from nine peppers because nine is hald of eighteen and eight is half of sixteen

Ruby ate 1 3 of a pizza, and Angie ate 1 5 of the pizza. How much of the pizza did they eat in all? A = 8 15 of the pizza B = 1 15 of the pizza C = 3 8 of the pizza D= 1 8 of the pizza


The amount of pizza that Ruby and Angie ate in all for this considered situation is given by: Option A: 8/15

How to add two fractions?

Let we have to add two fractions as:

(a_1)/(b_1) + (a_2)/(b_2)

Then we will find LowestCommon Multiple (LCM) of b_1 and b_2. That will help to make the denominators same.

Once the denominators become same, the numerators can add up directly, giving us the finalresult of addition.

So, we're specified that:

  • Ruby ate 1/3 of a pizza
  • Angie ate 1/5 of the pizza

These 1/3 and 1/5 are parts of pizza.

If  we add those parts which is eaten, we will get the total part of the pizza eaten.

Thus, we get:

Total part of the pizza eaten = (1/3 + 1/5) of a pizza.

The least common multiple of 3 and 5 is 15, because:


(see the multiples of 3 and 5. The first common number as both's multiple is the least number which is multiple of both, and is 15).

Thus, we get:

(1)/(3) + (1)/(5) = (1 * 5 + 1 * 3)/(15) = (8)/(15)

Thus, the amount of pizza that Ruby and Angie ate in all for this considered situation is given by: Option A: 8/15

Learn more about fraction addition here:

A = 8/15 of the pizza
Well, 1/3 + 1/5 = (5+3)/ 15 = 8/15

What is the length of PQ , rounded to the nearest tenth.




Step-by-step explanation:


10.8 units

Step-by-step explanation:

Two angles are supplementary. The measure of the first angle is 10 degrees more than three times the second angle. Find the measure of each angle



137.5° and 42.5°

Step-by-step explanation:

supplementary angles are two angles whose sum is equal to 180°.

Let the second angle be x then it is given that the first angle is 10 degrees more than 3 times second angle that is 3(x)+10°.

we know that the sum of first and second angles is 180° (supplementary angles)

so, (3(x)+10°)+(x) = 180°

                   4(x) = 170°

                       x = 170°/4 = 42.5°

so, first angle is 3(42.5°)+10° = 137.5°, second angle is x that is 42.5°

therefore, the angles are 137.5° and 42.5°.



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Step-by-step explanation:

The gym offers a discount when more than one member of the family joins. The first member (n=0) pays $550 per year. The second member to join (n=1) gets a discount of $75 per year. The third member (n=2) gets an additional $75 discount. The price for the nth member is given by 550+(-75n).a. What is the price for the fourth member to join (n=3)?

b. For a large family, is it possible that member would join for free? If so, which member would it be? Explain your reasoning.

c. Other than $0, what is the lowest amount that a member would pay to join? Which member would it be? Explain your reasoning.


a. If we subtract 75 from 550 twice, we get 400, which is the third member to join. Subtract 75 from 400, we get $325, the fourth member to join.

b. It is not possible that a member would join for free if it was a large family. 75 does not fit into 550 evenly. You can prove this by solving the expression 550÷75.

c. The lowest amount that a member would pay to join is $25.00. It would be the 7th member.

tim is saving to buy a new cell phone that costs $84. if he saves $12 each month, in how many months will he have $84?


\$84\ :\ \$12= (84)/(12) =7\n\nAns.\ 7\ months
well, divide 84 by 12
 84/12 is 7. so, it will take him 7 months