Find the first four terms of the sequence an=5m-1

This question says that there is a sequence given that is 8, 5, 2, −1. Afterwards it says that we have to find the the best defines function of this sequence

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Howtodothisquestion

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Procedureofquestionisgivenbelow

Firstly, it's compulsory to know that this sequence is of A.P . And we know this then we also know this in given sequence the first term of AP is 8 and the common difference is 5 - 8 . Then we have to subtract them nd the result is -3. After that we know the 9th terms of the AP is given by the - a(n) = a + (n-1) d. Now we have to put the values according to this rule . After putting the values we get a result that is a(n) = 11 - 3n. ( Wow ) now it's cleared that what is our final result ‽ Our final result is f(x) = 11 - 3x , x€N. Hence, solved

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We know that the given sequence is

8 , 5 , 2 , -1

From viewing this sequence we have cleared that this is an AP sequence !

\small\purple{\texttt{Where the terms are}}Where the terms are

First term = 8.

Common Difference = 5-8

☞ Common Difference = -3

We know that the 9th terms of the AP is given by the -

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

\small\pink{\texttt{Substituting the values we get}}Substituting the values we get

➜ a(n) = a + (n-1) d

➜ a(n) = 8 + (n-1) • (-3)

➜ a(n) = 8 - 3n + 3

➜ a(n) = 11 - 3n

Thus, we get our result.

Hence, the function best defines this sequence is y = f(x) = 11 - 3x , x€N

Answer = f(x) = 11 - 3x , x€N

Hope it's helpful

Step-by-step explanation:

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