Answer:
see explanation
Step-by-step explanation:
(a)
A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.
Here d = - 4 , then recursive formula is
= - 4 with a₁ = 2
(b)
The explicit formula for an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 4, thus
= 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula
(c)
Using the recursive formula
a₁ = 2
a₂ = 2 - 4 = - 2
a₃ = - 2 - 4 = - 6
Using the explicit formula
a₅ = 6 - 4(5) = 6 - 20 = - 14
a₁₀ = 6 - 4(10) = 6 - 40 = - 34
a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394
Answer:
f(6) = 182
Step-by-step explanation:
f(1) = 1
f(2) = 2
f(3) = 2f(2) + 3f(1) = 2(2) + 3(1) = 4 + 3 = 7
f(4) = 2f(3) + 3f(2) = 2(7) + 3(2) = 14 + 6 = 20
f(5) = 2f(4) + 3f(3) = 2(20) + 3(7) = 40 + 21 = 61
f(6) = 2f(5) + 3f(4) = 2(61) + 3(20) = 122 + 60 = 182
Answer:
Socratic app
Step-by-step explanation:
it will help you and answer my question alao
Answer: B,C,D,E
Step-by-step explanation: do the abc's its easy you should try.
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