Question

math help?

Answer 1

@jim_thompson5910

Answer 2

a(n-1) is the term right before a(n)
a(n+1) is the term right after a(n)


if d is the common difference, then

a(n-1) = a(n)-d
a(n+1) = a(n)+d

and taking the arithmetic mean of those two terms gives you

[a(n-1)+a(n+1)]/2

[a(n)-d+a(n)+d]/2

[2a(n)]/2

a(n)

So that proves that a(n) is the arithmetic mean of a(n-1) and a(n+1)

To find the actual arithmetic mean, you simply add up the two values and divide by 2

So..

(5 + (-9))/2

(5 - 9)/2

-4/2

-2

is the arithmetic mean

Answer 3

?

Answer 4

what's the first term?

What's the common difference?

Answer 5

6 and d is 8

Answer 6

good, so

a1 = 6
d = 8

Answer 7

Plug those into

an = a1 + d(n-1)

and simplify

Answer 8

but im suppose to write the explicit formula for the answer..

Answer 9

this will help you get that answer

Answer 10

replace a1 with 6, replace d with 8

then distribute and combine like terms

Answer 11

13n-12?

Answer 12

i mean 14n-13?

Answer 13

an = a1 + d(n-1)

an = 6 + 8(n-1)

an = 6 + 8n-8

an = ??

Answer 14

2+8n?

Answer 15

close, but no

Answer 16

-2+8n?

Answer 17

or 8n + (-2) or 8n - 2

8n - 2 is the most simplest in my opinion

Answer 18

how do i wright a recursive formula?

Answer 19

@johnweldon1993

Answer 20

what term are you adding each time to get the next term?

Answer 21

the site is being slow, so you'll have to be a bit (more) patient

Answer 22

8

Answer 23

so the recursive formula is basically


nth term = (previous term) + 8

and you write it as

\[\Large a_{n} = a_{n-1} + 8\]

where a1 = 6

Answer 24

were you able to get anywhere with this one?

Answer 25

no i wasnt

Answer 26

what is the arithmetic mean of 2 and -14?

Answer 27

-6?

Answer 28

so that's a3

Answer 29

a3 = -6

Answer 30

now find the arithmetic mean of a1 and a3 to get a2

then find the arithmetic mean of a3 and a5 to get a4

Answer 31

okay i got -2,-6,-10

Answer 32

those are correct

extra info: the common difference is -4 (ie we're adding -4 or subtracting 4 each time)

Answer 33

Solve for x


(x+3937)/2 = 4327

Answer 34

x is the salary of the unknown person

Add this unknown salary to the other known individual salary ($3937) and then divide that result by 2 to get the average ($4327) produces that equation. Solving for x will get your answer.