Question

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

Answer 1

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

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)

Answer 2

`\large\boxed{\sf n^(th) \ term =3n}}`

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}`