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4.9,15,21,27,ldots 5. 1.5,2.25,3,3.75,ldots 6.7,0 -7,-14 __ Recursive: Recursive: Recursive: Explicit: Explicit:

Pergunta

4.9,15,21,27,ldots 
5. 1.5,2.25,3,3.75,ldots 
6.7,0 -7,-14 __
Recursive:
Recursive:
Recursive:
Explicit:
Explicit:

4.9,15,21,27,ldots 5. 1.5,2.25,3,3.75,ldots 6.7,0 -7,-14 __ Recursive: Recursive: Recursive: Explicit: Explicit:

Solução

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KaikeProfissional · Tutor por 6 anos

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4. The sequence 4.9,15,21,27,\ldots
is an arithmetic sequence with a common difference of 6
. The recursive formula for this sequence is a_n = a_{n-1} + 6
, where a_1 = 9
. The explicit formula for this sequence is a_n = 6n + 3
.

5. The sequence 1.5,2.25,3,3.75,\ldots
is an arithmetic sequence with a common difference of 0.75
. The recursive formula for this sequence is a_n = a_{n-1} + 0.75
, where a_1 = 1.5
. The explicit formula for this sequence is a_n = 0.75n + 0.75
.

6. The sequence 7,0,-7,-14
is an arithmetic sequence with a common difference of -7
. The recursive formula for this sequence is a_n = a_{n-1} - 7
, where a_1 = 7
. The explicit formula for this sequence is a_n = -7n + 14
.
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