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Nadusha1986 [10]
3 years ago
9

What is the common difference between successive terms in the sequence​

Mathematics
1 answer:
Lelechka [254]3 years ago
4 0

9,2.5,-4,-10.5,-17

Let's find the difference between two consecutive terms

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.

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Need help with this....
Yakvenalex [24]

Answer:

\boxed{\dfrac{f(a+h)-f(a)}{h}=-3a^2-3ah-h^2}

Step-by-step explanation:

f(x)=-x^3+2\\\\\dfrac{f(a+h)-f(a)}{h}\\\\f(a+h)\to\text{substitute x = a + h}\\f(a)\to\text{substitute x = a}\\\\\dfrac{f(a+h)-f(a)}{h}=\dfrac{-(a+h)^3+2-(-a^3+2)}{h}\\\\\text{use}\ (x+y)^3=x^3+3x^2y+3xy^2+y^3\\\\=\dfrac{-(a^3+3a^2h+3ah^2+h^3)+2-(-a^3)-2}{h}\\\\=\dfrac{-a^3-3a^2h-3ah^2-h^3+2+a^3-2}{h}\\\\\text{combine like terms}

=\dfrac{(-a^3+a^3)-3a^2h-3ah^2-h^3+(2-2)}{h}\\\\=\dfrac{-3a^2h-3ah^2-h^3}{h}\\\\=\dfrac{h(-3a^2-3ah-h^2)}{h}\\\\=-3a^2-3ah-h^2

6 0
2 years ago
Found out the answer please I can't do this​
xxTIMURxx [149]

Answer:

530.929158457

Step-by-step explanation:

13x13= 169 x pi= 530.929158457

6 0
3 years ago
Can someone help me pls
Gekata [30.6K]

Answer:

C, D

Step-by-step explanation:

6 0
3 years ago
May you help me answer 1 question plz
Brilliant_brown [7]
5x20 is 100 +9 is 109 your answer is 109/20
8 0
3 years ago
Solve for x: -1 < x + 3 < 5 ​
Oxana [17]
<h3>Answer: Choice B)  -4 < x < 2</h3>

Work Shown:

-1 < x+3 < 5

-1-3 < x+3-3 < 5-3 ... subtract 3 from all sides

-4 < x < 2

7 0
3 years ago
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