Question

WILL GIVE BRAINLIEST write an equation for the nth term of the arithmetic sequence and find the 30th term 28, 25, 22, 19, ... (show your work pls)

Answer 1

Answer:

$a_n = 31 - 3n\\\\

a_{30}= 59$

Step-by-step explanation:

Given Arithmetic sequence is:

28, 25, 22, 19, ...

a = 28, d = 25 - 28 = - 3,

nth term of an Arithmetic sequence is given as:

$a_n = a + (n - 1) d$

Plugging a = 28 & d = - 3 in the above equation, we find:

$a_n = 28 + (n - 1) (-3)\\\\

a_n = 28 - 3n +3\\\\

\huge\purple {\boxed {a_n = 31 - 3n}} \\(This \:is \:the \:required \:equation) \\\\

Plug \: n = 30, \: we \: find:\\\\

a_{30}= 31 - 3 \times 30\\\\

a_{30}= 31 - 90\\\\

\huge\orange {\boxed {a_{30}= 59}} \\\\

$