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Lapatulllka [165]
3 years ago
5

X

Mathematics
1 answer:
cricket20 [7]3 years ago
4 0
I think it’s the second option sorry if incorrect
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The terms of a particular sequence are determined according to the following rule: If the value of a given term $t$ is an odd po
spayn [35]

More plainly, the sequence is defined recursively by

a_{n+1} = \begin{cases} 3a_n - 9 & \text{if } a_n \text{ is odd} \\ 2a_n - 7 & \text{if } a_n \text{ is even} \end{cases}

and some starting value a_1.

We're given that the sequence alternates between two constants, a and b, so that a_1 = a.

• If a is even, then the second term b must be odd, since

a_2 = 2a_1 - 7

by the given rule, and 2×(even) - (odd) = (odd). So

a_2 = 2a-7 = b

In turn, the third term is even, since we jump back to a. From the given rule,

a_3 = 3a_2 - 9

and so

3b-9 = 3(2a-7)-9 = a \implies 6a-30=a \implies 5a=30 \implies a=6

3b-9 = 6 \implies 3b = 15 \implies b = 5

Then the sum of the two integers is a+b=\boxed{11}

• You end up with the same answer in the case of odd a, so I'll omit this part of the solution. (It's almost identical as the even case.)

4 0
2 years ago
Which solid figures have their volumes calculated using the formula V = 1 Bh, where B is the area of the base and h
maw [93]

Answer:

right cone and hexagonal pyramid.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A company did a quality check on all the packs of nuts it manufactured. Each pack of nuts is targeted to weigh 18.25 oz. A pack
grigory [225]
The minimum accepted mass is 18.25 - 0.36 = 17.89 oz
The maximum accepted mass is 18.25 + 0.36 = 18.61 oz

So the range of rejected mass is x < 17.89 U x > 18.61
3 0
3 years ago
Please help ASAP!!!
Ne4ueva [31]

Answer:

Step-by-step explanation:

Find the sum of the squares of the residuals for

y  2x  6

6 0
3 years ago
5. Sally is shopping for diapers and sees a box with 216 diapers for $39.98 and a box with 88
Leya [2.2K]

Answer:

The option with the best deal is 216 diapers for $39.98

Step-by-step explanation:

Sally is shoping for diapers

Sally first sees a box which contains 216 diapers at $39.98

She also sees a second box with 88 diapers for $24.99

To know which option that has the best deal for diapers we have to calculate the amount of 1 diapers in each of the boxes

Box 1

216 diapers= $39.98

1 diaper= x

Cross multiply

216x= $39.98

x= 39.98/216

= 0.19 cents for 1 diapers

Box 2

88 diapers= $24.99

1 diaper= x

Cross multiply

88x= $24.99

x= 24.99/88

= 0.28 cents for 1 diaper

Hence the option with the best deal is 216 diapers for $39.98, this is because it is more cheaper.

4 0
3 years ago
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