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Lynna [10]
3 years ago
7

Given the functions f(n) = 11 and g(n) = −2(n − 1), combine them to create an arithmetic sequence, an, and solve for the 31st te

rm.
Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

Refer below for the explanation.

Step-by-step explanation:

As per the question we are asked to combine f(n) = 11 and g(n) = −2(n − 1), both of them to create arithmetic sequence and solve for 31st term.

So first we are about to solve and combine both of the equation which becomes ,

Fn = 11 -2(n-1)

Fn=11-2(n-1)

F31=-49

Fn=11-2(n-1)

F31=-51

Fn=11+2(n-1)

F31=71

Fn=11+2(n-1)

F31=73

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Answer:

\large\boxed{a_n=3n-10}

Step-by-step explanation:

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The explicit formula of an arithmetic sequence:

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Substitute:

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