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3 years ago

Write down in terms of n, an expression for the nth term of the following sequences: 1,8,15,22,29

Mathematics

2 answers:

hjlf3 years ago

7 0

Step-by-step explanation:

t1 = 1 = 7*1 - 6

t2 = 8 = 7* 2 - 6

t3 = 15 = 7 * 3 - 6

t4 = 22 = 7 *4 - 6

t5 = 29 = 7 * 5 - 6

-------------------------

Tn = 7n - 6

Crank3 years ago

6 0

Step-by-step explanation:

t1 = 1 = 7*1 - 6

t2 = 8 = 7* 2 - 6

t3 = 15 = 7 * 3 - 6

t4 = 22 = 7 *4 - 6

t5 = 29 = 7 * 5 - 6

-------------------------

Tn = 7n - 6

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3 years ago

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The total resistance R of two resistors connected in parallel circuit is given by 1/R = 1/R_1 + 1/R_2. Approximate the change in

Naily [24]

Answer:

a) Approximate the change in R is 0.5 ohm.

b) The actual change in R is 0.04 ohm.

Step-by-step explanation:

Given : The total resistance R of two resistors connected in parallel circuit is given by $\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}$

To find :

a) Approximate the change in R ?

b) Compute the actual change.

Solution :

a) Approximate the change in R

$R_1=12\ ohm$ and $R_2=10\ ohm$

$R_1$ is decreased from 12 ohms to 11 ohms.

i.e. $\triangle R_1=21-11=1\ ohm$

$R_2$ is increased from 10 ohms to 11 ohms.

i.e. $\triangle R_2=11-10=1\ ohm$

The change in R is given by,

$\frac{1}{\triangle R}=\frac{1}{\triangle R_1}+\frac{1}{\triangle R_2}$

$\frac{1}{\triangle R}=\frac{\triangle R_2+\triangle R_1}{(\triangle R_1)(\triangle R_2)}$

$\triangle R=\frac{(\triangle R_1)(\triangle R_2)}{\triangle R_2+\triangle R_1}$

$\triangle R=\frac{(1)(1)}{1+1}$

$\triangle R=\frac{1}{2}$

$\triangle R=0.5\ ohm$

b) The actual change in Resistance

$\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}$

$\frac{1}{R}=\frac{1}{12}+\frac{1}{10}$

$R=\frac{10\times 12}{10+12}$

$R=\frac{120}{22}$

$R=5.46\ ohm$

When resistances are charged, $R_1=R_2=11$

$\frac{1}{R'}=\frac{1}{R_1}+\frac{1}{R_2}$

$\frac{1}{R'}=\frac{1}{11}+\frac{1}{11}$

$R'=\frac{11}{2}$

$R'=5.5\ ohm$

Change in resistance is given by,

$C=R'-R$

$C=5.5-5.46$

$C=0.04\ ohm$

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3 years ago

Find the value of this expression if x = 2 and y= 1.

N76 [4]

Answer: 2/5

Step-by-step explanation:

xy^2

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If x = 2 and y = 1

x * y^2 2 × 1^2

----------- -----------

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6 0

3 years ago

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victus00 [196]

Here's the factorization of the equation
f(x) = [ (x+4)(2x-1) ] / [ (x-1)(x^2+x+1) ]

Domain
The domain of a function is the set of input or argument values for which the function is real and defined.
- function domain : x < 1 or x > 1

Range
Resulting f(x) values: all Real Numbers

Roots
x = 1/2 & -4

Axis interception points
x-axis: (1/2, 0) , (-4, 0)
(y-axis): (0, 4)

Asymptotes
Vertical: x = 1
Horizontal: y = 0

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3 years ago

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Vladimir [108]

Step-by-step explanation:

a =45°

b=45°

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f=30°

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2 years ago

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