All categories

3 years ago

What is the 28th term of the arithmetic sequence with a 1 = 4 and d= -2

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

tn = a + (n-1)*d

t28 = 4 + (27)*-2 27 because 27 = 28 - 1

t28 = 4 + - 54

t28 = 4 - 54

t28 = - 50

You might be interested in

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

$F = \dfrac{9}{6^x}$

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

$W = \int\limits^{x_2}_{x_1} {F(x)} \, dx$

with $x_1$ and $x_2$ the initial and final displacements respectively.

From the question, $x_1 =0$ and $x_2 = 12$ .

Then

$W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx$

Evaluating the indefinite integral,

$\int\limits \dfrac{9}{6^x} \, dx =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx$

From the rules of integration,

$\int\limits a^x\, dx = \dfrac{a^x}{\ln a}$

$9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x$

Returning the limits,

$\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}$

4 0

3 years ago

Please help me answer this

lys-0071 [83]

No when you subtract the 2 balances, there is a difference of 33.34. 1201.1-38.34=1162.76

8 0

3 years ago

What is the scale factor for 10 cm to 5 m

IgorLugansk [536]

Answer:

2cm

Step-by-step explanation:

3 0

3 years ago

Write an equation for the translation of y = |x|. 13 units down

olga55 [171]

The idea for transitions for an equation like this is
$y = m|x - h| + k$
where m = slope
h = how much left or right (note the negative)
k = how much up or down

moving 13 down would mean
k = -13

so
$y = |x| - 13$
D. would be your answer

7 0

3 years ago

Which number is greater 87 or 13.688

nexus9112 [7]

87 is greater than 13.688

3 0

3 years ago

Read 2 more answers