Question

What is the common difference and the 5 th term in the arithmetic formula for an=6n+3

Answer 1

Common Difference (d) =6

5th term = 33

Explanation:

`a_n= 6n +3.... (given) \\</p><p>Plug\: n = (n +1)\\</p><p>a_((n+1))= 6(n+1) +3 = 6n + 6 +3 = 6n + 9\\</p><p>Common \: Difference \: (d) = a_((n+1)) - a_n\\</p><p>= 6n + 9 - (6n+ 3)\\</p><p>= 6n + 9 - 6n - 3\\</p><p>= 9-3\\</p><p>\red{\boxed{\bold {Common \: Difference \: (d) =6}}} \\</p><p>Plug \: n = 5 \: in\: a_n= 6n +3\: we \: find:\\</p><p>a_5= 6* 5+3= 30 + 3 = 33\\</p><p></p><p>\huge\purple {\boxed {a_5= 33}} \\`

Answer 2

is an=6n+3 your question?

Explanation: