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2 years ago

Write a recursive formula for the sequence 1/4,1/2,3/4

Mathematics

1 answer:

Serjik [45]2 years ago

8 0

Answer:

$a_n = a_ {n - 1} + \frac{1}{2} , \: a_1 = \frac{1}{4}$

Step-by-step explanation:

The given sequence is:

$\frac{1}{4}, \frac{1}{2}, \frac{3}{4}$

The first term of this sequence is

$a_1 = \frac{1}{4}$

There is a common difference of d=½

The recursive formula is:

$a_n = a_ {n - 1} + d$

We substitute the common difference to get:

$a_n = a_ {n - 1} + \frac{1}{2}$

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Help on logarithmic equation

inessss [21]

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3 years ago

What is the equivalent factored form of 12x^4-42x^3-90x^2

Tanzania [10]

Factor the following:
12 x^4 - 42 x^3 - 90 x^2

Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)

Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)

Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)

4 0

3 years ago

Read 2 more answers

The volunteers at a high school football team’s concession stand are trying to decide on the price of the hot dogs they are sell

olga55 [171]

Answer:

x is the number of $1 increase in the price.

If there is no increase, then the total money earned is

2 × 70 = 140

If there is $1 increase, then the total money earned is

(2 + 1) × [70 - 8(1)]

If there is $2 increase, then the total money earned is

(2 + 2) × [70 - 8(2)]

If we continue the pattern, for x times $1 increase, total money earned is

(2 + x)(70 - 8x) =

If we substitute x = 0 in the above equation, we will get

the total money earned = $140.

It means if there is no increase, then the total money earned = 140.

Hence, 140 is the constant term and it represents that there is no increase in price.

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

6 0

2 years ago

Can someone please help me get the answer

lara [203]

Answer:

the answer is 6 since from 1 side to the other it makes 12 you just divide 12 by 2 since O is in the middle and only goes to half of the line

3 0

2 years ago

If you have a four digit code, where each digit can be any number from 0-9, what is the total number of possible four digit code

Aleksandr [31]

Exactly 10,000 it’s hard to explain though it’s really complicated

7 0

3 years ago

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