Question

Th

Write an
explicit formula for
ans
then
term of the sequence 40,50,60, ....

Answer 1

Answer:
`a_n = 10n+30`

n starts at 1, and n is a positive whole number (1,2,3,...)

======================================================

Step-by-step explanation:

The sequence is arithmetic with first term 40 and common difference 10. Meaning we add 10 to each term to get the next one.

--------

a1 = 40 = first term

d = 10 = common difference

`a_n = a_1 + d(n-1)\\\\a_n = 40 + 10(n-1)\\\\a_n = 40 + 10n-10\\\\a_n = 10n + 30\\\\`

is the general nth term of this arithmetic sequence

Plug in n = 1 and you should get
`a_1 = 40`

Plug in n = 2 and you should get
`a_2 = 50`

and so on