An arithmetic sequence is given below.-4, -10, -16, -22, ...
write an explicit formula for the Nth term aN.
Answers
Answer:
an=−6n+2
Step-by-step explanation:
First, you need to identify the first term and the common difference of the sequence. The first term is the value of the first element, which is -4. The common difference is the amount that is added or subtracted to each term to get the next one, which is -6 in this case. You can find it by subtracting any two consecutive terms, such as -10 - (-4) = -6 or -16 - (-10) = -6.
Next, you need to use the standard explicit formula for an arithmetic sequence, which is:
an=a1+d(n−1)
where an is the Nth term, a1 is the first term, d is the common difference, and n is any term number.
Finally, you need to substitute the values of a1 and d that you found in the first step into the formula. This gives:
an=−4+(−6)(n−1)
This is the explicit formula for the Nth term aN of the given arithmetic sequence. You can simplify it further by expanding and combining like terms:
an=−4−6n+6
an=−6n+2
Related Questions
Please help FAST!!Which equation represents the graph of the linear function?
The list of multiples for 6 is infinite.True or False?
Multiply. Express your answer in standard form. (x² - 2x + 3)(-2x² + 4x – 1)
Marcus is picking songs to play during a slideshow. The songs are each 3\dfrac123 2 1 3, start fraction, 1, divided by, 2, end fraction minutes long. The slideshow is 31\dfrac1231 2 1 31, start fraction, 1, divided by, 2, end fraction minutes long.
Answers
Answer: 5x+4+2
Step-by-step explanation:
5x-1(-4+2)
multiply the -1 by the -4 and 2
5x+4+2
-----------------------------------
x + 2 ) x^3 + 3x^2 + x
A. x + 3
B. x^2 + x + 2
C. x^3 + 2x^2
D. x2 + 3x
Answers
Answer:
Option C. x³ + 2x²
Step-by-step explanation:
In this long division x + 2 ) x³ + 3x² + x
when we divide the polynomial by (x + 2) then first quotient will be x². By the multiplication of (x + 2) and x² we get a polynomial which will be subtracted from the dividend.
(x + 2)×(x²) = x³ + 2x²
This is the polynomial to be subtracted.
Therefore option C is the correct answer.
This is the result of the multiplication of the first term of the quotient (x^2) times the divisor (x + 2).
Answers
Distance = speed × time
Given
Distance = 225 km
Time = 2.5 hrs
Find speed:
D = s × t
225 = s × 2.5
Divide by 2.5 on either sides to isolate s
2.5 and 2.5 cancels out
90 = s
speed = 90 km/hr (as the given were km and hr)
Answers
Answer:
let the two number be x and y.
Given: the product of two numbers is 450.
then: ......[1]
Also from the given condition that; the first number is half the second number. Also, x>y.
i.e,
Substitute this in equation [1];
or
[∴
]
Multiply both sides by 2; we get
or
or
Now, substitute this x value in [1], to solve for y;
Divide by 30 from both the sides, we get;
Therefore, the equation which can be used to find the value of x.
The greater number is x = 30.
The equation is used to find x is;
The value of the greater number x is 30.
Given
The product of the two numbers is 450.
The first number is half the second number.
Let the first number be x and the second number be y.
The product of the two numbers is 450.
The first number is half the second number.
Substitute the value of x in equation 1 from equation 2
Substitute the value of x in equation 1
Hence, the value of the greater number x is 30.
To know more about Equation click the link given below.
Answers
That person shakes hands with 29 other classmates.
Take another person different from the first, we'll call him the 'second'. Since he has already shaken hands with the first, he shakes hands with 28 other classmates.
The 'third' person will likewise shake hands with 27 other classmates, and so on.
Hence, the total number of handshakes is 29+28+27+...+2+1 = 29*30/2=435 handshakes
The answer is 435 handshakes when everyone was finished. I hope this is correct.
1 . What is the mean of the data set?
Answers
average= total number/number of objects or numbers
so the answer is 393, 399, 402,402,407, 410, 424, 425, 428 all added together then divided by 9
if we use a calculator to add them up we get 3690
then divide by 9
3690/9=410
410 is the mean
in the firs row there is 39 | 3 9 which means there are items 393 and 399,
to calculate sum i may write 393 + 399, or 3 + 9 + 39*2*10 which i find easier to calculate
sum = 3 + 9 + 2 + 2 + 7 + 0 + 4 + 5 + 8 + (2*39 + 3*40 + 1*41 + 3*42)*10 = 40 + (78+120+41+126)*10 = 40 + 3650 = 3690
mean = sum / number of items = 3690 / 9 = 410