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dlinn [17]
3 years ago
11

How do I know if a sequence is arithmetic ,geometric ,or neither

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0

Answer:


Step-by-step explanation:

Let's assume that you have a sequence written out in always increasing or always decreasing order.  

If each new term is equal to the previous term, plus a certain constant, then the sequence is arithmetic.  Example:  2, 7, 12, 17, 22, ... (the additive constant is 5).

If each new term is equal to the previous term, multiplied by a certain constant, then the sequence is geometric.  Example:  2, 8, 32, 128, ...  (the multiplicative constant is 4).

If the spacing between terms is not a constant, then the sequence is neither arith. nor geom.

If all new adjacent terms are not found by multiplying the previous term by the same constant, the sequence is not geometric (and not arithmetic).

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Operations with Radical Expressions
lisov135 [29]

Answer: 30\sqrt{11}

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

  3\sqrt{50} * \sqrt{22}

= 3\sqrt{5*5*2} * \sqrt{2*11}

= 3\sqrt{5*5*2*2*11}

= 3*5*2\sqrt{11}

= 30\sqrt{11}

******************************************

Answer: 6\sqrt{30}

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

  \sqrt{20} * \sqrt{3} * \sqrt{18}

= \sqrt{2*2*5} * \sqrt{3} * \sqrt{3*3*2}

= \sqrt{2*2*5*3*3*3*2}

= 2*3\sqrt{5*3*2}

= 6\sqrt{30}

********************************************

Answer: -\sqrt{5}

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

  4\sqrt{20} - 3\sqrt{45}

= 4\sqrt{2*2*5} - 3\sqrt{3*3*5}

= 4*2\sqrt{5} - 3*3\sqrt{5}

= 8\sqrt{5} - 9\sqrt{5}

= -\sqrt{5}

********************************************

Answer: 4\sqrt{5}

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

  2\sqrt{5} + 3\sqrt{5} - \sqrt{5}

= (2+3-1)\sqrt{5}

= 4\sqrt{5}

********************************************

Answer: 46\sqrt{2}

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

  4\sqrt{32} + 6\sqrt{50}

= 4\sqrt{2*2*2*2*2} + 6\sqrt{2*5*5}

= 4*2*2\sqrt{2} + 6*5\sqrt{2}

= 16\sqrt{2} + 30\sqrt{2}

= 46\sqrt{2}





7 0
3 years ago
Solve for y<br> 4(4y-7) +3y=24
Dima020 [189]

Answer:

y= 52/19 or 2 14/19

Step-by-step explanation:

first we open the brackets

16y-28+3y=24

then we shift the terms

16y+3y= 24+28

19y= 52

y= 52/19 or 2 14/19

hope it helps,pls mark me as brainliest

7 0
3 years ago
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goblinko [34]

Answer:

I think its A or D

Step-by-step explanation:

1/18 SORRY IF IM WRONG

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