Question

Please help! Will give fan and medal.
Thank you in advance! :)

Find the 16th term of the sequence.
a(17) = -2, d = -19

The 16th term of the sequence is what?

Answer 1

a(17) = a1 + (17-1) * -19
find a1 first

Answer 2

i hope you are familiar with this formula

Answer 3

Sorry! Got sidetracked for a minute.

Answer 4

Is it a1 - a2, or something like that?

Answer 5

xn = a + d(n-1)

this is the general formula for finding any arithmetic sequence

Answer 6

now plug in the values already according to your question, which i did in the first comment

Answer 7

is it -19?

Answer 8

are you asking me for an answer?
because honetly i have solved it yet

Answer 9

No, sorry, I got confused lol. After simplifying though, I have a = a(1) - 304/17

Answer 10

:/ duh

Answer 11

lets begin from start ok?

Answer 12

What?

Answer 13

Okay.

Answer 14

General Formula

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

got this much?

Answer 15

Yes

Answer 16

okay..
in question you are provided with some information
for example.
a(17)=-2 and d=-19
right?

Answer 17

Right

Answer 18

ok plug this information into the general equation..
can u do that?

Answer 19

so u can find a(1) as its value is missing, and thats one of the key element in finding any arithmetic sequence.

Answer 20

Okay. I may need some help with that :/ this stuff is really confusing for me.

Answer 21

okay..
just plug in the data which is given in question okay..
do it like this

a(17) = a(1) + (17-1)*d
you are told the value of a(17) and d .. right? plug them

-2 = a(1) + 16*(-19)

got this much?

Answer 22

Yes

Answer 23

okay then solve it
-2 = a(1) + (-304)
solve and find a(1) for me please

Answer 24

a(1) = 302?

Answer 25

yes..

Answer 26

now you have to find a(16) right?
so solve it.

a(16) = a(1) + (16-1) * d
you have a(1) and you have value of d too..
can you do it ?

Answer 27

Right. Okay..
a(1) = 4 + 16a?

Answer 28

duh what? how did u got this?
a(16) = a(1) + (16-1) * d i wrote this :3

Answer 29

a(16) = a(1) + (16-1) * d
just solve this part..
you just found a(1) above right? just put it in this eauqtion

Answer 30

I forgot to plug in 302 for a(1), sorry.

a = 149/8

Answer 31

:/
a(16) = 302 + (15*(-19))
a(16) =302 + (-285)
a(16) = 17

which part was hard for u :/

Answer 32

All of it I guess. Math is not my strongest subject, in any sort.

Answer 33

I apologize for your trouble and time! But thank you, I do appreciate it.

Answer 34

hmm well its fine.. just look up where u went wrong..
with what i have told u above the method.. with this u can solve any question

Answer 35

lol i barely answer questions now.. if i didn't wanted to help you i wouldn't had..
so dont apologize .. i wanted to help you so i did :) no worries

Answer 36

Alrighty :) well thank you very much!

Answer 37

no problem at all :)
bother me anytime u like