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marissa [1.9K]
3 years ago
14

What is the fifth term of the sequence whose first term is 10 and whose common ratio is 1/2?

Mathematics
1 answer:
Alborosie3 years ago
4 0

Answer:

\frac{5}{8}

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

here a₁ = 10 and r = \frac{1}{2}, thus

a_{5} = 10 × (1/2)^{4} = 10 × \frac{1}{16} = \frac{5}{8}

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Readme [11.4K]
Divide 64 by multiple numbers, and if they divide evenly that’s how many will be in each bag for the number of bags (number you divided by). For example, dividing 64 by 8 (bags) would be 8 cookies in each bag. You can do this with multiple numbers as long as it goes in evenly
7 0
3 years ago
benny uses 2/5 grams (G) of toothpaste each time he brushes his teeth. If benny buys 30-g tube, how many times will be able to b
worty [1.4K]

Answer:

75

Step-by-step explanation:

First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.

5 0
2 years ago
URGENT will give brilliant mark For the reaction 2Na + Cl2 ------ 2NaCl, how many grams of sodium chloride can be produced from
SVETLANKA909090 [29]

Answer:

825 g

Step-by-step explanation:

Here's my work:

500g Cl2 l   1mol Cl2  l  2 mol NaCl   l  58.5 g NaCl

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= 823.94  - the rounding can be a little off

The first thing you have to do is convert the 500 g of Cl2 into moles.  So you get the mass of Cl which is 35.5, but Cl is diatomic by itself so you multiply 35.5 x 2 and get 71.   now on the third column you are comparing the mol ratios of the equation.  The equation is 2Na + Cl2 ---> 2NaCl, so you see that there is no coefficient in front of Cl2 so that means there is 1 mol, and then you see that in the product there is a  coefficient of 2 in front of NaCl so that means there is 2 moles.  Then finally you have to convert the moles backs into grams where you just add the masses of Na and Cl .  You multiply across the top  and then divide that number by the bottom row.

6 0
2 years ago
What is the measure of the indicated arc in radians?
iogann1982 [59]

Answer:

D is the right one

Step-by-step explanation:

π radian = 180 degree

-> 135 degree = \frac{135}{180} π radian

-> 135 degree = 0.75 * π  radians = 3π/4 radian

5 0
3 years ago
Indicate the answer choice that best completes the statemer
Troyanec [42]

Answer:

25

Step-by-step explanation:

-25 to 0 is 25 and 25 to 0 is 25

Opposite of -25 is 25

So lettter d

7 0
3 years ago
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