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Elden [556K]
3 years ago
15

Simple questions points!!! :) Will also give you brainliest Answer questions 3-6

Mathematics
1 answer:
olasank [31]3 years ago
3 0

Answer:

3. aₙ = -9n +7

4. d = -2.4

5. a₆ = 45

6. aₙ = 133 + 4n

Step-by-step explanation:

Question 3.

a₁ = -2; aₙ = aₙ₋₁ - 9

The explicit rule for an arithmetic sequence is

        aₙ = a₁ + d(n -1 )

         d = aₙ - aₙ₋₁

        aₙ = aₙ₋₁ - 9     Subtract aₙ₋₁ from each side

aₙ - aₙ₋₁ = -9

         d = -9

For this sequence,  

aₙ = -2 – 9(n - 1)     Remove parentheses

aₙ = -2 - 9n + 9      Combine like terms

aₙ = -9n + 7

===============

Question 4

d = aₙ - aₙ₋₁

a₂ - a₁ = 6.2 – 8.6 = -2.4

a₃ - a₂ = 3.8 – 6.2 = -2.4, etc.

The common difference is

d = -2.4

===============

Question 5

aₙ = 8n – 3     Substitute the value of n

a₆ = 8×6 – 3

a₆ = 48 - 3

a₆ = 45

============

Question 6

a₁ = 137; d = 4

aₙ = a₁ + d(n -1 )

aₙ = 137 + 4(n -1 )

aₙ = 137 + 4n -4

aₙ = 133 + 4n

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If you answer right ill give brainliest, PLEASE help :)
kumpel [21]

Answer: replace f(x) with y

.

y=x2+x−30

To find the roots of the equation, replace y

with 0

and solve.

0=x2+x−30

Rewrite the equation as x2+x−30=0

x2+x−30=0

Factor x2+x−30

using the AC method.

(x−5)(x+6)=0

Set x−5

equal to 0 and solve for x


x=5

Set x+6

equal to 0 and solve for x

x=−6

The solution is the result of x−5=0

and x+6=0


x=5,−6

Hope this helps!





8 0
3 years ago
Urgent please help..
timofeeve [1]
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2 years ago
Four loan balances are $6,500, $3,600, $5,400, and $7,500, respectively. The current interest rates for the loans are 7%, 5%, 6%
My name is Ann [436]

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Answer is D.

5 0
3 years ago
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Please help,
ra1l [238]

Answer:

See below.

Step-by-step explanation:

2x^2 - 2x - 12 = 0

2 is a factor so we write:

2(x^2 - x - 6) = 0

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