Write an explicit formula that represents the sequence defined by the following recursive formula
1 answer:
Answer:
The explicit formula is a = 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a = first term; a
= a
+ d is a
= a + (n - 1)d, where
- a is the first term
- d is the common difference between each two consecutive terms
- n is the position of the number
∵ The recursive formula is a = -1 and a
= a
- 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a = -1 + (n - 1)(-6)
∴ a = -1 + (-6)(n) - (-6)(1)
∴ a = -1 + -6n - (-6)
∴ a = -1 - 6n + 6
→ Add the like term
∴ a = 5 - 6n
∴ The explicit formula is a = 5 - 6n
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Answer:
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Step-by-step explanation:
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