All categories

3 years ago

2,5,8,11,14 write down in terms of n , an expression for the nth term for this sequence

Mathematics

1 answer:

Alisiya [41]3 years ago

4 0

Answer:

$a_{n}$ = 3n - 1

Step-by-step explanation:

Note there is a common difference d between consecutive terms in the sequence, that is

5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3, thus

$a_{n}$ = 2 + 3(n - 1) = 2 + 3n - 3 = 3n - 1

You might be interested in

◆ Quadratic Equations ◆<br>Please help !

Mila [183]

I'm sure there's an easier way of solving it than the way I did, but I'm not sure what it could be. Never dealt with a problem like this before.

Anyway, I just plugged in and tested. Chose random values for a, b, c, and d, which follow the rule 0 < a < b < c < d:

a = 1
b = 2
c = 3
d = 4

$\sf ax^2+(1-a(b+c))x+abc-d)$

$\sf 1x^2+(1-1(2+3))x+(1)(2)(3)-(4))$

Simplify into standard form:

$\sf x^2+(1-1(5))x+6-4$

$\sf x^2+(1-5)x+2$

$\sf x^2-4x+2$

Use the quadratic formula to solve:

$\sf x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

For functions in the form of $\sf ax^2+bx+c$ . So in this case:

a = 1
b = -4
c = 2

Plug them in:

$\sf x=\dfrac{4\pm\sqrt{(-4)^2-4(1)(2)}}{2(1)}$

Solve for 'x':

$\sf x=\dfrac{4\pm\sqrt{16-8}}{2}$

$\sf x=\dfrac{4\pm\sqrt{8}}{2}$

$\sf x\approx\dfrac{4\pm 2.83}{2}$

$\sf x\approx 0.59,3.41$

So the answer would be A.

3 0

3 years ago

A welder works 8 hours a day at a rate of $25.00 per hour. The overtime rate is doubled the normal rate. On a particularday, the

Alborosie

Answer:

Step-by-step explanation:

Reeeeeeeeeeeeeeeeeeee

5 0

3 years ago

skis at a sports store near snow summit are on sale for $476. if the original price was $560, what discount rate does this repre

trapecia [35]

The answer would be 560-476 equals 84

8 0

3 years ago

Which of the lists is in order from smallest to largest? 1,330; 3,130; 3,310; 3,031 3,130; 3,031; 3,310; 1,330 1,330; 3,310; 3,0

lesantik [10]

Its the 4th because, 1,330 is the smallest then 3,031 is the second then, 3,130 is the third then fourth is 3,310

4 0

3 years ago

Read 2 more answers

Explain to me in words how you would find the slope of this line and explain answer

Andrews [41]

Answer:
7/3

Explanation:
The slope of the line is equal to the rise/run, or in other words, the number of units the line travels upwards over the number of units the line travels to the right.

We can identify the slope using any two points on the line. Here, we can use the two points that are marked on the picture. The second point is 7 units above the first and 3 units to the right of the first, so the slope of the line is equal to 7/3.

Another way to calculate the slope of the line is the use this formula:

(y2-y1)/(x2-x1)

The first point is at the coordinate (1,-4) and second point is at the coordinate (4,3). When we plug these two coordinates into the equation, we get this:

(y2-y1)/(x2-x1)
->(3-(-4))/(4-1)

When we simply the fraction, we would get 7/3 and that would give us the slope.

I hope this helps!

7 0

3 years ago