Completing the sqaure x^2+14x+34
1 answer:
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Answer:
(a) The recursive rule of the sequence is
(b) The explicit rule for this sequence is
Step-by-step explanation:
Given that,
The front row has 16 chair.
The second row has 20 chairs.
The third row has 24 chairs.
The difference of chairs of first row to second row is =(20-16)
=4
The difference of chairs of second row to third row is =(24-20)
=4
The difference of chairs remains same. So given sequence is a arithmetic sequence.
We know ,
The nth term of arithmetic sequence is represented by
a=first term of the sequence
d= common difference.
and
Here a= the number of chairs in first row = 16
d=4
The recursive rule of the sequence is
(b)
Row 1: 16
Row 2: 16+4------------------- 16+(2-1)4 =16+1.4
Row 3: 16+4+4-----------------16+(3-1)4=16+2.4
Row 4:16+4+4+4---------------16+(4-1)4=16+3.4
The explicit rule for this sequence is