Question

PLEASE HELP ME!!

Right a simplified rule for the nth term of the arithmetic sequence with a1=7 and the common difference is 3

Answer 1

tn=a+(n-1)d

Explanation:

tn=a+(n-1)d

where a=7 and d=3

tn=7+(n-1)3

=7+3n-3

=4+3n

Answer 2

`a_(n)` = 3n + 4

Explanation:

The n th term rule for an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 3 , thus

`a_(n)` = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4