Instructions: Given the recursive rule, match it to the explicit form.Recursive: an=anโ1+9๐๐=๐๐โ1+9a1=13๐1=13Drag answer hereRecursive: an=anโ1+4๐๐=๐๐โ1+4a1=โ22๐1=โ22Drag answer hereRecursive: an=anโ1โ9๐๐=๐๐โ1โ9a1=3๐1=3Drag answer hereRecursive: an=anโ1+20๐๐=๐๐โ1+20a1=โ38๐1=โ38Drag answer hereExplicit: an=12โ9n๐๐=12โ9๐Explicit: an=4+9n๐๐=4+9๐Explicit: an=โ26+4n๐๐=โ26+4๐Explicit: an=โ58+20n๐๐=โ58+20๐
Question
Instructions: Given the recursive rule, match it to the explicit form.Recursive: an=anโ1+9๐๐=๐๐โ1+9a1=13๐1=13Drag answer hereRecursive: an=anโ1+4๐๐=๐๐โ1+4a1=โ22๐1=โ22Drag answer hereRecursive: an=anโ1โ9๐๐=๐๐โ1โ9a1=3๐1=3Drag answer hereRecursive: an=anโ1+20๐๐=๐๐โ1+20a1=โ38๐1=โ38Drag answer hereExplicit: an=12โ9n๐๐=12โ9๐Explicit: an=4+9n๐๐=4+9๐Explicit: an=โ26+4n๐๐=โ26+4๐Explicit: an=โ58+20n๐๐=โ58+20๐
Solution
The recursive and explicit forms can be matched as follows:
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Recursive: an = anโ1 + 9, a1 = 13 matches with Explicit: an = 4 + 9n. This is because the recursive rule adds 9 to the previous term, and the explicit rule also adds 9 for each term (n).
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Recursive: an = anโ1 + 4, a1 = -22 matches with Explicit: an = -26 + 4n. This is because the recursive rule adds 4 to the previous term, and the explicit rule also adds 4 for each term (n).
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Recursive: an = anโ1 - 9, a1 = 3 matches with Explicit: an = 12 - 9n. This is because the recursive rule subtracts 9 from the previous term, and the explicit rule also subtracts 9 for each term (n).
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Recursive: an = anโ1 + 20, a1 = -38 matches with Explicit: an = -58 + 20n. This is because the recursive rule adds 20 to the previous term, and the explicit rule also adds 20 for each term (n).
Similar Questions
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