Question

(MEDAL+FAN) FOR BEST ANSWER.(PLEASE HELP)

1.Identify the 35th term of an arithmetic sequence where a1 = -7 and a18 = 95. (2 points)

203

197

168

163


2.Identify the 31st term of an arithmetic sequence where a 1 = 26 and a22 = -226. (2 points)

-334

-274

-284

-346

Answer 1

@gummibearzrule Can u help please

Answer 2

@mathstudent55 Please Help

Answer 3

I'm afraid that I'm not extremely experienced at this level, terribly sorry ^^;

Answer 4

OH Okay Np

Answer 5

since your first term is -7 you now have your a in the formula:

\[a_{n}\] = a + (n-1)d

where d is your common difference. does this formula look familiar?

Answer 6

Yes KINDA

Answer 7

to find the common differnce set up using this formula:

a18 = 95 = -7 + (18-1)d

and solve for d

Answer 8

Okay Let Me Try

Answer 9

once you have found d then manipulate the equation to solve for the 35th term.

this will look like:

a35 = -7 + (35-1)d

for whatever d turns out to be

Answer 10

number 2 is going to follow the same rules. does that make more sense?

Answer 11

Um. So im suppose to solve a18 = 95 = -7 + (18-1)d, I don't understand how to solve it though. Can u walk me through it or help me. PLEASE

Answer 12

But If I Solve For 5 = -7 + (18-1)d, I Get d=6

Answer 13

@maddirm96

Answer 14

so 95= -7 + (18-1)d
95= -7 + 17d
102= 17d
6=d

Answer 15

now say:

a35 = -7 + (35-1)6
= -7 + (34)6
= -7 + 204
=197

Answer 16

Ohh Okay Thank You.

So the Formula for the second one is a31=26+(31-1)d

Answer 17

almost but not quite. you need to find your common difference before finding your a31 term. start out by solving for d in the equation:

a22 = -226 = 26 + (22-1)d

just like in the first problem

Answer 18

So it gives me a22 = -226 = 26 + (22-1)-12 ?

Answer 19

if -12 became your common difference then you can use that to substitute your variables back into the formula.
lol is this sounding familiar at all to you?

Answer 20

So for every variable i substitute -12 in, except for a

Answer 21

I Understood The First The First Question. But The Second One...;/

Answer 22

a is your first term.
since the problem gives you your first term as 26 you can use that. but first you need to solve for d. since you got -12 now say:

a31 = 26 + (31-1)-12

Answer 23

So now i solve for 26 + (31-1)-12

Answer 24

yes! the explicit formula for arithmetic sequences is

\[a_{n} = a + (n-1)d\]

where n is the term you are trying to find, a is your first term and d is the common difference. \[a_{n} \] will end up being your value at that Nth term

Answer 25

a31=26+(31-1)-12
=26+(30)-12
=26+-360
=-334

Answer 26

OMG. I GOT IT THANK YOU SOO MUCH

Answer 27

@maddirm96

Answer 28

I MADE A 100.YAY