Select the following series as finite or infinite.
2 answers:
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What is the recursive formula for this geometric sequence 2, -10, 50, -250, .... ?
The recursive formula for this geometric sequence is:
= 2;
= (-5) •
Step-by-step explanation:
To find the recursive formula for a geometric sequence:
- Determine if the sequence is geometric (Do you multiply, or divide, the same amount from one term to the next?)
- Find the common ratio. (The number you multiply or divide.)
- Create a recursive formula by stating the first term, and then stating the formula to be the common ratio times the previous term.
The recursive formula is:
= first term;
= r •
, where
is the first term in the sequence
is the term before the nth term
- r is the common ratio
∵ The geometric sequence is 2 , -10 , 50 , -250
∴ = 2
- To find r divide the 2nd term by the first term
∵
∴
- Substitute the values of and r in the formula above
∴ = 2;
= (-5) •
The recursive formula for this geometric sequence is:
= 2;
= (-5) •
Learn more:
You can learn more about the geometric sequence in brainly.com/question/1522572
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