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FromTheMoon [43]

2 years ago

13

The sum of the number is 103.the second number is 4 times the third.the third number is 5 more then the first .what are the numb

ers ?

1 answer:

Zigmanuir [339]2 years ago

4 0

Answer:

13, 18, 72

Step-by-step explanation:

let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.

set up an equation, and make it equal to 103:

x-5+x+4x=103

solve:

6x-5=103

6x=108

x=18

so, the third number is 18.

the first number is equal to x-5, so:

18-5=13

the second number is equal to 4x, so:

4(18)=72

so, the three numbers are 13, 18, and 72.

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Find the first five terms of the sequence given the following recursive formula:

forsale [732]

Answer:

The first five terms are;

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Step-by-step explanation:

The recursive definition of the sequence is

$a_1=-3,$ , $a_2=-7$ and $a_n=a_{n-2}-2a_{n-1}$ .

When n=3, we obtain;

$a_3=a_{3-2}-2a_{3-1}$ .

$\implies a_3=a_{1}-2a_{2}$ .

$\implies a_3=-3-2(-7)$ .

$\implies a_3=11$ .

When n=4

$\implies a_4=a_{2}-2a_{3}$ .

$\implies a_4=-7-2(11)=-29$ .

When n=5

$\implies a_5=a_{3}-2a_{4}$ .

$\implies a_4=11-2(-29)=69$ .

Therefore the first five terms are;

-3,-7,11,-29,69

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3 years ago

Trigonometry that’s due in one hour :(

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Answer:

(a) $\theta=\tan^{-1}(-0.890)$

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3 years ago

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kobusy [5.1K]

Answer:

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2 years ago

Solve the equation:

ivann1987 [24]

Answer:

x = √2/2

Step-by-step explanation:

Use the identity:

arcsin x + arccos x = π/2

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