What is the common difference of an AP which has its first term as 100 and the sum of its first 6 terms = 5 times the sum of its
1 answer:
Answer:
The common difference of given AP is Option 2) -10.
Step-by-step explanation:
We are given the following information in the question:
First term of AP, a = 100
The sum of its first 6 terms = 5(the sum of its next six terms)
We have to find the common difference of AP.
The sum of n terms of AP is given by:
where a is the first term and d is the common difference.
Thus, we can write:
Thus, the common difference of given AP is -10.
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The recursive formula for the arithmetic sequence is given as follows:
- d(1) = 8.
- d(n) = d(n - 1) - 13.
In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
In which is the first term.
The recursive formula for the sequence is given by:
In the sequence 8, -5, -18, -31,...8,−5,−18,−31, the first term and the common ratio are given as follows:
Hence, the recursive sequence is given by:
- d(1) = 8.
- d(n) = d(n - 1) - 13.
More can be learned about arithmetic sequences at brainly.com/question/6561461
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