Question

find the nth term of this sequence, 3, 6, 9, 12

Answer 1

Answer:

$\large\boxed{\sf n^{th} \ term =3n}}$

Step-by-step explanation:

Find common difference from subtracting any term in the sequence with the previous term.

$\large{\sf 6-3}=3$

Apply nth term formula.

$\large{\sf a_n=a_1+(n-1)d$

$\large{\sf d=3 \ \ a_1=3}$

$\large{\sf a_n=3+(n-1)3$

$\large{\sf a_n=3+3n-3$

$\large{\sf a_n=3n}$

Answer 2

Answer:

a(n) = 3 + 3(n -1)

Step-by-step explanation:

Note that each new term is found by adding 3 to the previous term.  The first term is 3 and the common difference is 3.  Thus, the formula for the nth term is

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

or, in this case,

a(n) = 3 + 3(n -1)