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Alex Ar [27]
3 years ago
11

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

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
6 0

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)

miss Akunina [59]3 years ago
3 0

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}

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