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bezimeni [28]
3 years ago
5

PLEASE HELP ASAP!!!!!!!!

Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer:

The first 5 terms are;

-2, 2, 13,38 and 91

Step-by-step explanation:

Here, we want to write the first 5 terms of the sequence.

We already have the first term as 1

Now, we need the 2nd term

Putting two in place of n, we have ;

2f(1) + 3n

= 2(-2) + 3(2) = -4 + 6 = 2

For the 3rd term, put 3 in place of n

2f(2) + 3(3)

sine f(2) = 2, we have

2(2) + 9 = 4+ 9 = 13

For the fourth term, put 4 in place of n, we have

2f(3) + 3(4)

since f(3) = 13

we have; 2(13) + 12 = 26 + 12 = 38

For the 5th term, put 5 in place of n, we have

2f(4) + 3(5)

since f(4) = 38, we have

2(38) + 15 = 76 + 15 = 91

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A drink is made by mixing 650 ml of water with 150 ml of fruit juice.
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<h2>○=> <u>Correct answer</u> :</h2>

\boxed{\color{hotpink}\tt18.75\%} of the drink is fruit juice

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

=\tt 650 + 150

\color{plum}=\tt 800 \: ml

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

=  \tt\frac{x}{100}  \times 800 = 150

= \tt \frac{x \times 800}{100}  = 150

=\tt  \frac{800x}{100}  = 150

=\tt 8x = 150

=\tt x =  \frac{150}{8}

\hookrightarrow\color{plum} \bold{x = 18.75\%}

Then, the percentage of water in the drink :

= \tt100 - 18.75

\color{plum}= \tt81.25\%

Thus, the percentage of water in the drink = 81.25%

<h3>○=> <u>Therefore</u> :</h3>

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

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