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Readme [11.4K]
3 years ago
13

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

how your work pls)
Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

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}} \\\\

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