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For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).

4x-1,quad3x-1,quad2x-1,quad".. "
1

-x

x

-1

For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence). $\newline$ $4 x-1, \quad 3 x-1, \quad 2 x-1, \quad \text {.. }$ $\newline$ $1$ $\newline$ $-x$ $\newline$ $x$ $\newline$ $-1$

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Sine and cosine of complementary angles

Full solution

Q. For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).

\newline

4 x-1, \quad 3 x-1, \quad 2 x-1, \quad \text {.. }

\newline

1

\newline

-x

\newline

x

\newline

-1

Check for Common Difference: To determine if the sequence is arithmetic or geometric, we need to check the differences or ratios between consecutive terms. $\newline$ First, we check if there is a common difference by subtracting the second term from the first term and the third term from the second term.
Calculate Difference: $1$ st & $2$ nd Terms: Calculate the difference between the first and second terms: $(3x - 1) - (4x - 1) = 3x - 1 - 4x + 1 = -x$ .
Calculate Difference: $2$ nd & $3$ rd Terms: Calculate the difference between the second and third terms: $(2x - 1) - (3x - 1) = 2x - 1 - 3x + 1 = -x$ .
Sequence is Arithmetic: Since the differences between consecutive terms are the same $-x$ , the sequence is an arithmetic sequence with a common difference of $-x$ .

More problems from Sine and cosine of complementary angles

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Which is equal to

\sin 75^\circ

\newline

\newline

\cos 25^\circ

\newline

\cos 15^\circ

\newline

\sin 25^\circ

\newline

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Posted 26 days ago

Question

28+56 t+28 w

to identify the equivalent expressions.

\newline

2

\newline

2(56+112 t+56 w)

\newline

28(1+2 t+w)

\newline

4(7+13 t+7 w)

\newline

7(4+8 t+4 w)

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Question

In an election between two candidates Joseph and Judith,

60\%

of the total number of voters did not vote for Joseph and

50\%

of the total number of voters did not vote for Judith. If it is known that each voter can vote for only one candidate, what percentage of voters did not cast their votes? [With calculator]

\newline

5

\newline

10

\newline

20

\newline

30

Posted 2 months ago

Question

Jack, Tom, Beth, and Ruth each have a number of marbles. Jack has

10

marbles, the least, while Tom has

27

marbles, the highest. Which of the following could be the average of the number of marbles present with all of them, given that no two of them has the same number of marbles?

\newline

A)\ \$13

\newline

B)\ \$17

\newline

C)\ \$23

\newline

D)\ \$26

Posted 2 months ago

Question

Click and drag like terms onto each other to simplify fully.

\newline

1-6 y+5+6 x-5 x+4

Posted 2 months ago

Question

Click and drag like terms onto each other to simplify fully.

\newline

-1-4 y^{3}-2 x^{3}+5 x+2-7-x^{3}

Posted 2 months ago

Question

Solve the system:

\newline

\begin{array}{c} x+6 y=17 \\ -x+3 y=-8 \end{array}

Posted 2 months ago

Question

Solve the sinstem:

\newline

\begin{cases} x+6y=17 \ -x+3y=-8 \end{cases}

Posted 2 months ago

Question

For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).

\newline

7,-35,175, \ldots

\newline

-5

\newline

-42

\newline

-\frac{1}{5}

\newline

42

Posted 2 months ago

Question

\newline

Límites por susti

\newline

\newline

Puede que necesites:

\newline

\lim _{x \rightarrow 2}\left(x^{3}-5 x^{2}+1\right)=

\newline

Esconder calculadora

\newline

Posted 23 hours ago