Pregunta
Determine the general term of this sequence.
What is the value of the
Which term in this sequence is equal to -87 ?
Calculate the value of
How many terms in the sequence add up to -1550 ?
What is the largest possible value of
What is the value of the
Which term in this sequence is equal to -87 ?
Calculate the value of
How many terms in the sequence add up to -1550 ?
What is the largest possible value of
Ask by Campbell Best. in South Africa
Mar 27,2025
Solución de inteligencia artificial de Upstudy
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Cannot determine the general term or solve the questions without knowing the sequence’s first term and common difference.
Solución
To solve the problem, we first need to identify the sequence and its general term. However, the specific sequence is not provided in your question.
Let’s assume the sequence is an arithmetic sequence defined by the first term
Now, let’s break down the questions step by step:
-
Determine the general term of this sequence.
- We need the values of
and to find the general term.
- We need the values of
-
What is the value of the
term in the sequence? - This can be calculated using the general term formula once we have
and .
- This can be calculated using the general term formula once we have
-
Which term in this sequence is equal to -87?
- We can set the general term equal to -87 and solve for
.
- We can set the general term equal to -87 and solve for
-
Calculate the value of
. - The sum of the first
terms of an arithmetic sequence is given by:
- We can use this formula to find
.
- The sum of the first
-
How many terms in the sequence add up to -1550?
- We can set
and solve for .
- We can set
-
What is the largest possible value of
for which ? - We can set up the inequality
and solve for .
- We can set up the inequality
To proceed, I need the values of
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Simplifique esta solución Bonus Knowledge
To determine the general term of a sequence, you first need to identify if it’s arithmetic, geometric, or another type. If it’s arithmetic, the general term can be expressed as
Once you have the general term, you can easily find
For finding which term equals -87, set your general term equation equal to -87 and solve for
To calculate
Lastly, to find out how many terms add up to -1550, you’ll need to determine how many times you need to accumulate the common difference to reach that sum, while for the largest
Each of these tasks requires careful manipulation of sub-formulas based on the nature of the sequence established. Happy calculating!
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