For the following geometric sequence find the recursive formula: {-1, 3, -9, ...}.

Answers

Answer 1
Answer:

Based on these first few terms, we can deduce that the next term is computed by switching the sign of the previous one, and multiplying it by 3: we start with -1, we switch the sign (1) and multiply by 3 (3); then again we switch the sign (-3) and multiply by 3 (-9), and so on.

Since switching sign is the same as multiplying by -1, we can compute every next term by multiplying the previous one by -3:

a_1 = -1\na_2 = a_1\cdot(-3) = (-1)\cdot(-3)=3\na_3 =a_2\cdot(-3)=3\cdot(-3)=-9

So, the recursive formula is

a_n = -3a_(n-1)

because it states precisely that the next term is -3 times the previous one.


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What is 10,000,000 written as a power of ten?A.
10^7

B.
10^8

C.
10^–7

D.
10^–8

Answers

A: 10^7 is the answer becuase 10 x 10 7 times equals 10,000,000

What is 9 times 54 in rounding

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I would round 9 to 10

Then round 54 to 50

Rounded answer woyld be 500

If you can draw a number line that shows the relationship between tons and pounds, what would it be

Answers

2000 Pounds = 1 Ton
Hope you get it right 

What is the answer to split 56 in the ratio of 3:4

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56\to3:4\n\n3+4=7\n\n56:7=8\n\n3\ *\ 8=24\n4\ *\ 8=32\n\nAnswer:24\ and\ 32.

Which of the following expressions is equal to 1?a. 5^0 x 6^-3 x 6^3 x 5^1
b. 5^2 x 6^-2 x 6^3 x 5^-3
c. 5^2 x 5^-2 x 6^0 x 6^2
d. 5^-1 x 6^5 x 6^-5 x 5

Answers

I think it's d okay maybe

Jill is making lemonade. The original concentration was 25 mL of concentrate to 2 L of water. People found that too strong so she decreased the concentration to 20 mL of concentrate to 2 L of water. By what percentage did she decrease the concentrate?A) 2%
B) 3%
C) 5%
D) 20%

Answers

100%= 25mls

20/25 x 100 = 80%

100%-80%= 20%

Answer:

Step-by-step explanation:

The answer is D)20%