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bearhunter [10]
3 years ago
6

Consider a sequence that follows a minus 5 pattern: 30, 25, 20, 15, ….

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Answer:

a_2_0=-65

Step-by-step explanation:

As we can see, the sequence starts from 30 and decreases by 5 each time. So, one possible formula for that sequence could be:

a_n=35-5n\hspace{10}n\in N

Let's confirm the formula by evaluating the first 4 terms:

a_1=35-5(1)=35-5=35\\a_2=35-5(2)=35-10=25\\a_3=35-5(3)=35-15=20\\a_4=35-5(4)=35-20=15

Finally evaluating n=20:

a_2_0=35-5(20)=35-100=-65

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What is the sum of the multiples of 6 between 6 and 999?
riadik2000 [5.3K]
Your method is completely correct. The first term will be 6 and each subsequent term can be obtained by adding 6 to the previous one, meaning the common difference is 6. The number of terms is given by the highest number that is divisible by 6 and dividing it by 6; that is 996/6 = 166
Then we simply apply the formula for arithmetic sequence sum:
S = n/2 [2a₁ + (n - 1)d]
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3 years ago
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Ede4ka [16]
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Stephanie is making beef for a party the recipe uses 1 1/2 teaspoons of pepper, 3 2/4 teaspoons of garlic powder 1/8 teaspoons o
Arisa [49]

<u><em>Answer:</em></u>

<u>She will use:</u>

3 tablespoons of pepper

7 tablespoons of garlic powder

\frac{1}{4} tablespoon of thyme

8 tablespoons of onion powder

<u><em>Explanation:</em></u>

To double the amount, Stephanie will need to double the amount of each ingredient used. This means that she will multiply each amount by 2

<u>Therefore:</u>

New amount of any ingredient = old amount of that ingredient x 2

<u>This means that:</u>

New amount of pepper = 1\frac{1}{2}*2= 3 tablespoons

New amount of garlic powder = 3\frac{2}{4}*2=7 tablespoons

New amount of thyme = \frac{1}{8}*2=\frac{1}{4} tablespoons

New amount of onion powder = 4*2=8 tablespoons

Hope this helps :)

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valina [46]

Answer:

The answer is C≈49.64

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Answer:

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Step-by-step explanation:

Explanation: The GCF of 56 and 64 is 8 , as 8 goes into 56 exactly 7 times and into 64 exactly 8 times. 8(8)+7(8)=8(7+8).

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