I need help with nth term

[small furnace]

3(i) and (ii) are my concerns

[weary cypress]

can you find the first term?

(just set n = 1)

[small furnace]

1/4, 2/7, 3/10?

[weary cypress]

looks right to me

[small furnace]

Is ii

K = 21/64

[weary cypress]

the k'th term is k/(3k + 1)

so k/(3k + 1) = 21/64

[small furnace]

Well I don't rlly understand

Where did you get 3k+1

[cunning cargo]

its the 3n+1 from the denominator on the first expression

[small furnace]

I see

I need help with 1 more algebraic equation

[cunning cargo]

Wich one?

[small furnace]

Numero 5

A & b

[cunning cargo]

in the first one, did you try to multiply all the expression by 3x to take out the denominator?

[small furnace]

Will I get 3x = 9x

[cunning cargo]

(srry for the bad english, and if at some time i missunderstand something bc im spanish)

[small furnace]

It's alright

[cunning cargo]

no, when you multiply the expression on the left you get 1

its like when you have 1/4 and you multiply by 4

you get 1, not 4

[small furnace]

Oh

3x/3x = 9x

So 9x = 1

X = 1/9

[cunning cargo]

one more problem

[small furnace]

?

[cunning cargo]

when you multiply 3x times 3x you get 9x^2

[small furnace]

Oh ye

Forgot abt that

So like

X = sqrt 1/9

[cunning cargo]

yess

[small furnace]

But there's 2 x

[cunning cargo]

yes

because the sqrt gives you 2 values

[small furnace]

So

[cunning cargo]

(-3) squared equals 9 aw

[small furnace]

1st os the raw value

Sqrt 1/9

And 2nd x is the simplified one?

[cunning cargo]

nono

when you do the sqrt os 1/9 what do you get?

1/3

and

[small furnace]

0.33

[cunning cargo]

yes, thats one of the values

[small furnace]

And then

How to find 2nd x

[cunning cargo]

when you do a sqrt you are trying to find the values that squared give you another value, right?

[small furnace]

What's ur answer for 2nd x

[cunning cargo]

-0.33

[small furnace]

;-;

Howww

[cunning cargo]

when you square 1/3 you get 1/9 right?

(1/3 = 0.33)

but it happens the same when you square -1/3

bc of the sign rules

minus times minus = +

you know what i mean?

[small furnace]

Why do we need to square-1/3

[cunning cargo]

beacuse the work of a sqrt is to find what values squared equal to the number you introduced in it

[small furnace]

Mhm

How abt 5b?

[small furnace]

.

[cunning cargo]

you have to do the same basically but mutiplying all the equation by the two denominators multiplayed by themselves

[small furnace]

I don't get it

[cunning cargo]

u are trying to not have any denominators

so, when you try to quit the denominators you miltiply by the denominator all

is like when you take something multiplying to the other side

but explained

[small furnace]

Is it x-3/x+3 (x+3) - 4/x-3 (x-3) = 15 (x-3)

[cunning cargo]

you multiply all by the two denominators, i mean x-3/x+3 (x+3)(x-3)- 4/x-3(x+3)(x-3)=15(x+3)(x-3)

[small furnace]

Oh

[small furnace]

How do u solve for this