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Over [174]
3 years ago
5

A sequence has a second term of 1 and a common difference of -3. The fifth term of the sequence is _____. -11 -8 -5 10

Mathematics
2 answers:
kondor19780726 [428]3 years ago
5 0

Answer:

- 8

Step-by-step explanation:

The terms in an arithmetic sequence ar

a, a + d, a + 2d, ...... , a + (n - 1)d

Each term in the sequence is obtained by adding the common difference (d) to the previous term, that is

a₂ = 1

a₃ = a₂ + d = 1 - 3 = - 2

a₄ = a₃ + d = - 2 - 3 = - 5

a₅ = a₄ + d = - 5 - 3 = - 8

guapka [62]3 years ago
4 0

Answer:

-8

Step-by-step explanation:

Let the sequence be X.

Xn=a+(n-1)*d

where, n: nth term

a: first term

d: common difference

Given, X2=1

Then, 1=a+(2-1)*-3

or,a=1+3=4

So,X5=4+(5-1)*-3

or,X5=4+(4*(-3))

or,X5=4-12=-8

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Makakaanswer neto may brainlest,follow,5 star,at 1 heart step-by-step explenaition po ah thank you
shusha [124]
3/4 + 1/2
multiply 1/2 denominator and numerator by 2 to match 3/4
= 3/4 + 2/4 = 5/4 (copy same denominator add numerator)

2/6 + 1/3
divide 2/6 denominator and numerator by 2 to match 1/3
= 1/3 + 1/3 = 2/3 (copy same denominator add numerator)

5/9 + 2/3
multiply 2/3 denominator and numerator by 3 to match 5/9
= 5/9 + 6/9 = 11/9 (copy same denominator add numerator)



6/9 -1/5
cross multiply 6x5 - 1x9 for numerator
for denominator multiply 9x5
=30/45 - 9/45= 21/45
divide num and den by 3
=7/15


5/8-1/3
cross multiply 5x3-1x8 for numerator
multiply 8x3 for denominator
= 15/24 -8/24 =7/24
7 0
2 years ago
your family is driving to the beach. you travel 200kilometers in the first two hour. during the next hour you stop for lunch and
ziro4ka [17]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
A department within an agency is randomly chosen each week for auditing. If there are 25 departments, what is the chance that an
Alexandra [31]

<u>Answer:</u>

The chance that any single department is chosen for auditing in a given week is 0.04%

<u>Explanation:</u>

Given that a department within an agency is randomly chosen per week for auditing and we are given total number of departments are 25 departments of which 1 is to be chosen.

Now chance of any single department to be chosen in any particular week will be given by 1 dividing by total no. of departments

which is equal to 1/25

1/25 = 0.04%

which is the chance of percentage of choosing a department

8 0
3 years ago
A researcher is studying a mouse population in a field. For the first year of her study, she notices that the mouse population d
Montano1993 [528]

Answer:

The 500 mice would be the carrying capacity of the field being studied.

Step-by-step explanation:

For the first year of study, the mouse population demonstrates exponential growth.

But by third year, the mouse population has stabilized at approximately 500 mice.

Thus, this 500 mice would be the carrying capacity of the field being studied.

Carrying capacity is defined as the measure to demonstrate the maximum population size that any given environment can sustain for an unspecified time period.

5 0
3 years ago
Circumference of the cylinder a cylinder of the base with the diameter of 6cm and height of 12cm
yuradex [85]

Answer:

To find the volume, we must find the area of the circle and multiply it by its height, think of a cylinder as an object made up of MANY circles. So, V=pir^2h... so diameter is 6cm so radius = 3cm...

therefore, Volume = (pi)(3^2)(12) = 108(pi)

where 12 = height 3 = radius

For the surface area, we need to find the area of the 2 circles(top and bottom ) so once again,

2(pi)(r^2) = 2(pi)(9)

for the area of the rectangle(if we unfold the cylindrical can) we get D(pi)(12) where D= Diameter

so the surface area is

SA = (2)(9)(pi) + 6(pi)(12)

SA = 18pi + 72pi = 90pi

7 0
2 years ago
Read 2 more answers
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