1. Analyze the following pattern: 1, 2, 5, 10, 17,

Mathematics

1 answer:

valentinak56 [21]4 years ago

6 0

Answer:

n² - 2n + 2

Step-by-step explanation:

The difference in the pattern are odd numbers.

2 - 1 = 1

5 - 2 = 3

10 - 5 = 5

17 - 10 = 7

So there is a -2n in the nth term.

If we subtract 1 on each term.

0, 1, 4, 9, 16

We get whole squares.

So there is a n² in the nth term.

(1)² - 2(1)+ c = 1

1 - 2 + c = 1

-1 + c = 1

c = 2

The nth term is:

n²-2n+2

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3x-12y=216 solve for y fully reduced

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In a seminar, the number of participants in German, English and French are 204, 120 and 168 respectively. Find the numbers of ro

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$\bf \stackrel{German}{204}\qquad \stackrel{English}{120}\qquad \stackrel{French}{168}$

now, if we a "prime factoring" of each number, we get

204 = 2*2*3*17

120 = 2*2*2*3*5

168 = 2*2*2*3*7

now, notice the GCD for all three is that common bolded values, namely 2*2*3, or 12, so each room will house 12 participants,

now, how many rooms for all German? 204 ÷ 12, or 17 rooms.

how many rooms for all English ones? 120 ÷ 12, or 10 rooms.

how many rooms for the French ones? 168 ÷ 12, or 14 rooms.

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3 years ago

What is the reciprocal of 1.8?

katovenus [111]

Answer:

10/18

Step-by-step explanation:

To convert 1.8 to a reciprocal, you first need to change it into a fraction.

1.8 basically expresses 1 $\frac{8}{10}$ which equals $\frac{18}{10}$ .