Question

I'm still wondering why "n" is called nth term. Can anyone elaborate it for me?

I'm working on an Arithmetic Sequence.

Answer 1

consider the below arithmetic sequence :

11, 12, 13, 14, 15, 16,.......

Answer 2

1st term = 11
2nd term = 12
3rd term = 13

....

n'th term = Tn

Answer 3

its just a place holder, it means some n'th term is Tn

Answer 4

Thank you.

Answer 5

thats all the question ha ? :)

Answer 6

For now, yes. I ask every time I get confused.

Answer 7

good :))

Answer 8

My textbook is full of explanation and I ended up getting frustrated.

Answer 9

you should pay ganeshi to become ur teacher

Answer 10

ganeshi when i have kids i will send them to u lol.. i need you to teach my kids what prime numbers are from age 1, begin with the sentence your age is not a prime number let us begin

Answer 11

@ Ganeshie8, I already memorize the formulas for this particular problem, but the n was lurking in my head (What's the nth for?).

Answer 12

omg ! thats a great way to itroduce prime numbers lol
textbook is lengthy and discussing certainly helps :)

Answer 13

which formula u talking about ?

\(\large t_n = a + (n-1)d\)

this one ?

Answer 14

yes hahah

Answer 15

the sum as well

Answer 16

okay lets go back to our sequence

11, 12, 13, 14, 15.....

Answer 17

see if u can u identify below :-
a = ?
d = ?

Answer 18

n is some arbitrary number
and nth term is some arbitrary term in a sequence

Answer 19

a=11

Answer 20

and so on

Answer 21

d=1

Answer 22

1st, 2nd,3rd, 4th,nth,6th,7th
in this case nth term is the 5th term in this sequence

Answer 23

Do you want me to calculate the whole problems?

Answer 24

^^ above see if that strikes something...

Answer 25

lol... I was just wondering why n is nth.. however, i should just think x and y.

Answer 26

lets work an example quick, u wil see it :)

Answer 27

Dan, thank you.

Answer 28

yah

Answer 29

11, 12, 13, 14, 15.....

in this sequence

a = 11, d = 1

you're comfortable so far eh

Answer 30

After that, I will have to get back to my homework. In a few days, I will take my final exam. :)

Answer 31

good luck.. i hope you get 100%

Answer 32

it wont take long trust me, u already knw everything :)

1st term = 11
2nd term = 12
3rd term = 14
...

100th term = ?

Answer 33

Hang on.. :D

Answer 34

certainly we can use the \(n\)th term formula :-

\(\large t_{n} = a + (n-1)d\)

plug in \(n = 100\)

it gives u 100th term

Answer 35

i will give u a math lesson okay

Answer 36

plugin \(n = 2\), it gives u \(2\)nd term
u can dumbly use that formula, to get any term in the sequence.

Answer 37

when u do math u must think in math

Answer 38

110=a100

Answer 39

Perfect !
next find 2nd term

Answer 40

simply put \(n = 2\) in the formula

Answer 41

I prefer to understand a concept completely because I don't want to fail nor making my teacher(s) crazy.

Answer 42

and confirm if u get 12 as expected or not

Answer 43

a12=12+(100-1)(1)
=111

Answer 44

The sequence is consistent.

Answer 45

should i say increases consistently at 1?

Answer 46

yes, d = 1
since its positive, the terms increase consistently at 1

Answer 47

do u knw the gauss story ?

Answer 48

I did..yes. I thought it was hilarious.

Answer 49

I just read it today. :)

Answer 50

yup ive read it recently... he was able to do the sums when he was like 5 years old kid :o

Answer 51

He was awesome.

Answer 52

and the teachers have no clue how to keep him engaged in the class during leisure hours lol

Answer 53

His formula reminds me of Excel spreadsheet.

Answer 54

Lol...

Answer 55

ahhh why excel spreadsheet lol

Answer 56

He would get medicated if he lives in our days. :D

Answer 57

lol that was funny ;)

Answer 58

Did you notice this