What is the general rule for the sequence? –8, 3, 14, 25, …
1 answer:
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Answer:
The given sequence 6, 7, 13, 20, ... is a recursive sequence
Step-by-step explanation:
As the given sequence is
- It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.
As
,
As d is not same. Hence, it cannot be an arithmetic sequence.
- It also cannot be a geometrical sequence and exponential sequence.
It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.
As
,
,
As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.
So, if we carefully observe, we can determine that:
- The given sequence 6, 7, 13, 20, ... is a recursive sequence.
Please have a close look that each term is being created by adding the preceding two terms.
For example, the sequence is generated by starting from 1.
and
for n > 1.
<em>Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence</em>
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Answer:
x+y=0 and 3x-2y=10
Step-by-step explanation
Let the numbers be x and y.
The sum of the two numbers is 0
Letting the smaller number be y and the
larger number be x:
twice the smaller number
Also, 3 times the larger number
Now ,twice the smaller number subtracted from 3 times the larger number is 10.
Therefore the equations are
and