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adoni [48]
3 years ago
7

MULTIPLE CHOICE 9th grade math: help me find the formula to the nth term:

Mathematics
1 answer:
maxonik [38]3 years ago
3 0

Answer:

a_{n} = - 5n - 2

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 12 - (- 7) = - 17 - (- 12) = - 5

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 = - 7 and d = - 5, then

a_{n} = - 7 - 5(n - 1) = - 7 - 5n + 5 = - 5n - 2

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If the sum of the measure of two angles in a triangle is 101, then the measure
LiRa [457]

Answer:

79 degrees.

Step-by-step explanation:

It is just a rule of trigonometry that all the angles inside ANY triangle will add up to 180 degrees.

There's only 3 possible angles in a triangle, so if you know what the sum of 2 are, its easy to find the last one.

All you have to do is 180 - 101, which equals 79 degrees.

Hope this helped : )

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3 years ago
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1 - 3/10 Write the answer as a fraction​
IgorLugansk [536]

Answer:

7/10

Step-by-step explanation:

Get a common denominator

1 - 3/10

10/10 - 3/10

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3 years ago
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13 POINTS!!!!!
Valentin [98]

Answer:

The graph of function f of x equals log base 5

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3 years ago
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3. Consider the sequence,-8, -5, -2, 1, ...
Naddik [55]

Answer:

a) a_n=3\,n-11

b) a_{20}=49

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

a_n=a_1+(n-1)\,d

That in our case would give:

a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11

b)

Therefore, the term number 20 can be calculated from it:

a_{20}=3\,(20)-11=60-11=49

c) in order to find which term renders 20, we use the general form we found in step a):

a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17

so term number 17 is the one that renders a value of 40

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3 years ago
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350(1+0.75)t       (add the numbers)
350*1.75t            (Calculate the product)
612.5 t
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