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3 years ago

Part 2 of math help dont take this down I have 2 questions taken down I think so not this one

Mathematics

2 answers:

Alex73 [517]3 years ago

5 0

It is a if I am correct

vaieri [72.5K]3 years ago

4 0

Answer: a

Step-by-step explanation: 98 is greater than the rest of the numbers so it’s true

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A. [4 marks]

storchak [24]

The value of d is -2

Step-by-step explanation:

The nth term of the arithmetic sequence is $u_{n}=u_{1}+(n-1)d$ , where

$u_{1}$ is the first term
d is the common difference between each 2 consecutive terms

The nth term of the geometric sequence is $u_{n}=u_{1}r^{n-1}$ , where

$u_{1}$ is the first term
r is the common ratio between each two consecutive terms $r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}$

∵ $u_{1}$ of an arithmetic sequence is 1

∵ The common difference is d, where d ≠ 0

∵ $u_{2}$ , $u_{3}$ , $u_{6}$ are the first 3 terms of a geometric sequence

∵ $u_{2}$ = 1 + (2 - 1)d

∴ $u_{2}$ = 1 + d

∵ $u_{3}$ = 1 + (3 - 1)d

∴ $u_{2}$ = 1 + 2d

∵ $u_{6}$ = 1 + (6 - 1)d

∴ $u_{2}$ = 1 + 5d

∴ The first 3 terms of the geometric sequence are (1 + d) , (1 + 2d) ,

(1 + 5d)

∵ The common ratio in the geometric sequence is $r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}$

∴ $r=\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}$

- Use cross multiplication with the equal fractions

∵ $\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}$

∴ (1 + 2d)(1 + 2d) = (1 + d)(1 + 5d)

∴ 1 + 2d + 2d + 4d² = 1 + 5d + d + 5d²

- Add like terms in each side

∴ 1 + 4d + 4d² = 1 + 6d + 5d²

- Subtract 1 from both sides

∴ 4d + 4d² = 6d + 5d²

- Subtract 4d from both sides

∴ 4d² = 2d + 5d²

- Subtract 4d² from each side

∴ 0 = 2d + d²

- Take d as a common factor

∴ 0 = d(2 + d)

- Equate each factor by 0

∴ d = 0 but we will reject it because d ≠ 0

∴ 2 + d = 0

- Subtract 2 from both sides

∴ d = -2

The value of d is -2

Learn more:

You can learn more about the sequence in brainly.com/question/1522572

#LearnwithBrainly

7 0

3 years ago

Find the circumference of the circle. A. 11 cm B. 44 cm C. 22 cm D. 33 cm

ira [324]

Answer:

The answer is 44 cm .

which is (B)

5 0

3 years ago

To investigate the relationship between amount of sales y (in thousands of dollars) and the amount x (in hundreds of dollars) sp

riadik2000 [5.3K]

Answer:

(A) For each additional hundred dollars spent on advertising, sales are predicted to increase by $2,380.

Step-by-step explanation:

Regression isa statistical equation, denoting relationship between independent (causal) variable(s) & dependent (effected) variable.

y = a + bx

where y = dependent variable, x = dependent variable, a (intercept) = autonomous value of y, b (slope) = change in y due to change in x

Regression equation of independent variable (x) as advertising expenditure & dependent variable (y) sales : y = 24.45 + 2.38x

Sales are in thousands of dollars, advertising expenditure is in hundreds of dollars. So, the interpretations are :

Intercept interpretation : When there is zero advertising expenditure, sales are 24.45 thousands i.e $24450
Slope Interpretation : When advertisement expenditure change (rise) by 1 hundred, sales change (rise) by 2.38 thousand i.e $2380

7 0

3 years ago

You plan to take $450 u.s. on a trip to south africa. how many rands is this if one u.s. dollar equals 3.70 rands?

Mumz [18]

$1 = 3.70 rand

$450 is the same as 450 * $1, so multiply both sides of the conversion equation above by 450.

450 * $1 = 450 * 3.70 rand

$450 = 1665 rand

5 0

3 years ago

Three times the sum of a number and seven is negative thirty-six. What is the number?

Katarina [22]

Answer:

n =-19

Step-by-step explanation:

3* (n+7) = -36

Distribute

3n+21 = -36

Subtract 21 from each side

3n+21-21 = -36-21

3n = -57

Divide by 3

3n/3 = -57/3

n =-19

7 0

3 years ago

Read 2 more answers