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EastWind [94]
3 years ago
6

I need help please!!!

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

Answer:

a lot

Step-by-step explanation:

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Find a formula for the general term a n of the sequence assuming the pattern of the first few terms continues. { − 13/3 , 16/9 ,
bixtya [17]

a formula for the general term a n of the sequence assuming the pattern of the first few terms continues. { − 13/3 , 16/9 , − 19/27 , 22/81 , − 25/243 , ... } is (-1)^n\frac{13+3(n-1)}{3^n} .

<u>Step-by-step explanation:</u>

Here we have , the pattern of the first few terms continues. { − 13/3 , 16/9 , − 19/27 , 22/81 , − 25/243 , ... } . We need to find a formula for the general term a n of the sequence . Let's find out:

In this question there is no such technique , instead we have to use our brain to manipulate the pattern as :

1st term = − 13/3 = (-1)^1\frac{13 }{3^{1}}

2nd term = 16/9 = (-1)^2\frac{13+3(1)}{3^2}

3rd term = − 19/27 = (-1)^3\frac{13+3(2)}{3^3}

4th term = 22/81 = (-1)^4\frac{13+3(3)}{3^4}

5th term = − 25/243 = (-1)^5\frac{13+3(4)}{3^5}

nth term = (-1)^n\frac{13+3(n-1)}{3^n}

Therefore, a formula for the general term a n of the sequence assuming the pattern of the first few terms continues. { − 13/3 , 16/9 , − 19/27 , 22/81 , − 25/243 , ... } is (-1)^n\frac{13+3(n-1)}{3^n} .

6 0
3 years ago
Find the value of k such that the line through (k + 3, 7) and (-5,3 – k) has a slope of 3/5
Nookie1986 [14]

Answer:

k = 2

Step-by-step explanation:

slope = rise/run = (y1 - y2) / (x1 - x2)

s = (7 - (3-k)) / ((k+3) - (-5)) give slope is 3/5

3/5 = (7 - (3-k)) / ((k+3) - (-5))   then multiply both sides by ((k+3) - (-5))

(3/5)((k+3) - (-5)) = (7 - (3-k))

(3/5)(k+3+5) = 7 - 3 + k

(3/5)(k+8) = 4 + K

3k/5 + 24/5 = 4 + k

3k/5 - k = 4 - 24/5

3k/5 - 5k/5 = 20/5 - 24/5

-2k/5 = -4/5

-2k = -4

k = 2

8 0
3 years ago
Find the value of the expression 4a to the fourth power - 2b squared +40 when a =2 and b=7
Tom [10]
4a^4 -2b^2 +40
a=2
b=7
4(2)^4 -2(7)^2 +40
PEMDAS is what your gonna use to solve this you go from right to left

First is P which is parentheses which is none
second is E which stands for exponents
4(32)-2(49)+40
now MD multiply or divide
128-98+40
now add or subtract
30+40
last one 
70 this is your answer i hope

3 0
3 years ago
Thomas wrote the expanded form of (Five-halves) Superscript 4 below.
Masja [62]

Answer:

The Answer Is A

Step-by-step explanation:

8 0
4 years ago
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You have a credit card that has a balance of $3,589.90 and a credit limit of $5,000. How much is the balance over the acceptable
marysya [2.9K]
3089.9 Hope it helps
3 0
4 years ago
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