Two arithmetic sequences are given by an=6+4(n−1)a_{n}=6+4(n-1) and bn=2+6(n−1)b_{n}=2+6(n-1). Find the smallest positive integer nn such that an=bna_n = b_n.

15. Sequences, Series, and the Binomial Theorem

15. Sequences, Series, and the Binomial Theorem / Arithmetic Sequences / Problema 5

Problema 5

Two arithmetic sequences are given by $a_{n} = 6 + 4 (n - 1)$ and $b_{n} = 2 + 6 (n - 1)$ . Find the smallest positive integer $n$ such that $a_{n} = b_{n}$ .

$n equals 3$

$n equals 2$

$n equals 6$

$n equals 7$