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3 years ago

Complete the recursive formula of the arithmetic sequence - 1, - 13, - 25, - 37

Mathematics

1 answer:

barxatty [35]3 years ago

7 0

Answer:

The recursive formula is aₙ=aₙ₋₁ -12

Step-by-step explanation:

Recursion is a process in which each step of a pattern depends on the step or the previous steps. So a recursive sequence is a sequence where terms are defined using one or more previous terms that are given.

So a recursive formula allows you to find any term in an arithmetic sequence using a function of the previous term, where each term is the sum of the previous term and the common difference.

So, in this case you can see the common difference of all the terms by doing the following calculations between a term and its previous value:

-13-(-1)=-13+1=-12

-25-(-13)=-25+13=-12

-37-(-25)=-37+25=-12

The common difference is -12

So, <u><em>the recursive formula is aₙ=aₙ₋₁ -12 where each term is the same to the previous term minus 12.</em></u>

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Anvisha [2.4K]

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Use the formula for simple interest.

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05) A polynomial function f of degree(6) whose coefficients are real numbers has the zeros i, 4-i,2+i . Find the remaining zeros

arlik [135]

The degree of the polynomial function f is the number of zeros function f has.

The remaining zeros of the polynomial function are -i, 4 + i and 2 - i

<h3>How to determine the remaining zeros</h3>

The degrees of the polynomial is given as;

Degree = 6

The zeros are given as:

i, 4-i,2+i

The above numbers are complex numbers.

This means that, their conjugates are also zeros of the polynomial

Their conjugates are -i, 4 + i and 2 - i

Hence, the remaining zeros of the polynomial function are -i, 4 + i and 2 - i

Read more about polynomials at:

brainly.com/question/4142886

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2 years ago

strojnjashka [21]

Answer:

Step-by-step explanation:

3x - 4y = 13 (1)

2x + y = 5 (2)

——————

3x - 4y = 13

4(2x + y = 5) (2) times 4

——————-

3x - 4y = 13

8x + 4y = 20

——————-

11x = 33

x = 33/11

x = 3

Plug x = 3 in (2):

2(3) + y = 5

6 + y = 5

y = 5-6

y = -1

Thus, x = 3 and y = -1

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The rule is Paranthesis First

|7-(24÷|3-6|)|

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|7-(24÷3)|-

|7-(8)|

|7-8|

|-1|

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