Question

first sequence: 3 8 13 18 23 second sequence: -2 4 10 16 . find the TWO numbers that are in both number sequences.​

Answer 1

$a(n) = 3 + 5n$

$b(n) = - 2 + 6n$

$a(n) = b(n) \\ 3 + 5n = - 2 + 6n \\ 5 = n \\ n = 5 \: (6th \: term)$

$a(5) \: or \: b(5) = 3 + 5(5) = 28$