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tiny-mole [99]
2 years ago
9

Write an recursive formula for an, the nth term of the sequence 19,22,25, ....​

Mathematics
1 answer:
ra1l [238]2 years ago
4 0

Answer:

T_n = T_{n-1}+3 where n>1

Step-by-step explanation:

Given

19,22,25, ..

Required

Determine the recursive formula

The given sequence shows arithmetic progression (AP).

First, we calculate the common difference (d):

d = 22 - 19 = 25 - 22

d = 3

The recursive formula of an AP is determined using:

T_n = T_{n-1}+d where n>1

Substitute 3 for d

T_n = T_{n-1}+3 where n>1

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good morning fellow brainsters please help me i’m tired and i just drank a four loko... can’t think. will give 15 points
borishaifa [10]

Answer:

7. x=3

8. l=11cm and w=7 cm

9. x-5\ge12

10. \frac{x}{3}\le15

Step-by-step explanation:

Question 7.

The given expression is:

12-3(2x+1)=7x-3(7+x)

Expand the parenthesis using the distributive property:

12-6x-3=7x-21-3x

Group similar terms:

-6x-7x+3x=-21+3-12

Simplify

-10x=-30

Divide both sides by -10

x=3

Question 8:

Let the width of the rectangle be; w

The length of the rectangle is l=w+4

The perimeter is given as: P=2(l+w)

Given that the perimeter P=36, then:

36=2[(w+4)+w)]

\implies 36=2(2w+4)

Divide both sides by 2:

\implies 18=2w+4

Subtract 4 from both sides:

\implies 18-4=2w

\implies 14=2w

\implies w=7

The dimensions of the rectangle is: w=7 cm and l=7+4=11cm

Question 9

Let the number be x.

"5 fewer than the number" is written as x-5

"5 fewer than a number is at least 12" becomes

x-5\ge12

Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

\frac{x}{3}

The quotient of a number and 3 is no more than 15 is written as;

\frac{x}{3}\le15

4 0
3 years ago
Can someone help me with these questions
Luda [366]
The worksheet pic is not clear
4 0
3 years ago
Read 2 more answers
A department store is having a 55% off sale on all sport coats. If you have a coupon for an additional 10% off of any item, how
guajiro [1.7K]

Answer:

93.15

Step-by-step explanation:

Multiply 230.00 dollars and 0.55 = 126.50

Subtract 230.00 dollars and 126.50 = 103.50

Multiply 103.50 and 0.10 = 10.35

Subtract 103.50 and 10.35 = 93.15

8 0
3 years ago
Read 2 more answers
A data set has a maximum of 84, a minimum of 34, a median of 52.5, an upper quartile of 64, and a lower quartile of 44. Which st
Akimi4 [234]

Answer:

A box and whiskers plot has a box whose endpoints are the interquartile range (25th percentile and 75th percentile), has a dividing line at the median, aka the 50th percentile, and whiskers that extend out to the minimum and the maximum of the data.

Let's sort the info for ease of reference:

min 34, lower quartile 44, median 52.5, upper quartile 64, max 84.

OK, let's go through the statements.

A. The box will go from 44 to 64.

The box goes from the lower quartile to the upper quartile, TRUE

B. A line dividing the box will be at 54.

There's no 54 mentioned at all, FALSE

C. The left whisker will go from 34 to 52.5.

The left whisker goes from the minimum to the lower quartile, 34 to 44 here, FALSE.

D. The right whisker will go from 44 to 84.

The right whisker goes from the upper quartile to the max, 64 to 84 here.  FALSE

If this could help, please mark me brainliest! Have an awesome day too!

4 0
2 years ago
Angela and Juan went to the ice cream store where ice cream cones cost $0.90 each and ice cream bars cost $0.75 each. They spend
yarga [219]
4 x 0.90 = £3.60
£13.50 - £3.60 = £9.90
0.9 + 0.75 = £1.65
£9.90/£1.65 = 6
They bought 6 ice cream cones
6 0
3 years ago
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