I WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER AND POINTS!

Find the consecutive even integers such that their sum is equal to the difference of three times the larger and two times the sm

Digiron [165]

Let the integers be x and x + 2, then
x + x + 2 = 3(x + 2) - 2x
2x + 2 = 3x + 6 - 2x
2x + 2 = x + 6
2x - x = 6 - 2
x = 4

Therefore, the integers are 4 and 6

6 0

3 years ago

Express the terms of the following sequence by giving a recursive formula.

MAXImum [283]

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Step-by-step explanation:

First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

$a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7$

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

$a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7$

Hence,

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

Need help bad! and thankyou so much.

puteri [66]

Answer:

C

Step-by-step explanation:

Given

C = πd ( isolate d by dividing both sides by π )

$\frac{C}{\pi }$ = d → C

6 0

4 years ago

The length of a rectangle is 9 inches more than the width. the perimeter is 38 inches. find the length and the width of the rect

Phantasy [73]

L=w+9

p=2w+2l
p=2w+2*(w+9)
p=2w+2w+2*9
p=4w+18
4w+18=38
4w=38-18
4w=20
w=20:4
w=5 in
l=5+9=14 in

4 0

3 years ago

PLEASE HELP 40 POINTS<br> Express each logarithm in terms of ln 3 and ln 5.<br> ln 81 / 125

sergeinik [125]

I’ll recommend b or c so choose answer c

8 0

3 years ago