7.) What are the missing numbers in the sequence 6,11,9,14,__,17
Answers
Answer:
12
Step-by-step explanation:
SOLUTION
TO DETERMINE
The missing numbers in the sequence
6 , 11 , 9 , 14 , __ , 17
EVALUATION
Here the given sequence is
6 , 11 , 9 , 14 , __ , 17
In above sequence there are two arithmetic sequence
1. The numbers in odd position i.e 1st , 3rd , 5th term..
The sequence is 6 , 9 ,..
First term = 6
Common Difference = 3
2. The numbers in odd position i.e 2nd , 4th , 6th term..
The sequence is 11 , 14 , 17 ,..
First term = 11
Common Difference = 3
So the required missing term
= 5 th term of the given sequence
= 3 rd term of the sequence 6 , 9 ,..
= 9 + 3
= 12
FINAL ANSWER
The missing numbers in the sequence = 12
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