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stich3 [128]
3 years ago
14

Enter the first 8 terms of the sequence with f(1) = 42 and f(n) = f(n − 1) − 5 for each whole number greater than 1.

Mathematics
1 answer:
Elenna [48]3 years ago
7 0
F(1) = 42
f(n) = f(n-1) - 5

f(2) = f(1) - 5
f(2) = 42-5
f(2) = 37

a1 = 42
a2 = 37
r = 5
PA: (42, 37, 32, 27, 22,  17, 12, 7)
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Answer:

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Step-by-step explanation:

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vfiekz [6]
Answer: The fourth term is -102

----------------------------------------------

Explanation:

The term after the nth term is generated by this rule  a_{n+1} = -4(a_n) + 2 which means that we first
Step 1) multiply the nth term ( a_n ) by -4
Step 2) Add the result of step 1 to the value 2 to get the next term in the sequence

Let's follow those steps above to generate the first four terms

The first term is a_1 = 2. In short, the first term is 2

The second term is...
a_{n+1} = -4(a_n) + 2
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a_{2} = -4(2) + 2
a_{2} = -8 + 2
a_{2} = -6
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The third term is...
a_{n+1} = -4(a_n) + 2
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The third term is 26

Finally, the fourth term is...
a_{n+1} = -4(a_n) + 2
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a_{4} = -104 + 2
a_{4} = -102
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Step-by-step explanation:

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