Question

Calculate the next 3 terms and write the formula for the nth term for the following sequences. x, x+2, x+4,…

Answer 1

Hello,

Explanation:

First term of this aritmetical sequence is x+0*2

`U_1=x+0*2\\U_2=x+2=x+1*2\\U_3=x+4=x+2*2\\U_4=x+6=x+3*2\\\\n^(th)\ term\ is\ U_n=x+(n-1)*2\\`

Answer 2

Forth term = x + 6

Fifth term = x + 8

Sixth term = x + 10

Formular for nth term:

`{ \tt{n _(th) = a + (n - 1)d}} \\ { \tt{{n _(th) = x + (n - 1) * 2}}} \\ { \tt{{n _(th) =x + 2n - 2 }}}`