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chubhunter [2.5K]
3 years ago
6

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.
   an = 11 - 2(n - 1); a31 = -49
   an = 11 - 2(n - 1); a31 = -51
   an = 11 + 2(n - 1); a31 = 71
   an = 11 + 2(n - 1); a31 = 73
Mathematics
2 answers:
FromTheMoon [43]3 years ago
3 0

Answer:

Option A is correct

a_n = 11-2(n-1) and  a_{31} = -49

Step-by-step explanation:

Given the functions:

f(n) = 11

g(n) = -2(n-1)

then;

combine them to create an arithmetic sequence i.e,

a_n = f(n)+g(n)

⇒a_n = 11-2(n-1) where n is the number of terms

To find the 31st term.

Substitute n =31 we have;

a_n = 11-2(31-1)

⇒a_{31}=11-60 = -49

Therefore, we have an arithmetic sequence,

a_n = 11-2(n-1) and  a_{31} = -49

Rasek [7]3 years ago
3 0
<span>an = 11 - 2(n - 1); a31 = -49 
</span>
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