What is the common difference between successive terms in the sequence?
2 answers:
Answer:
common difference = 6.
Step-by-step explanation:
Given : 2, 8, 14, 20, 26, ......
To find : What is the common difference between successive terms in the sequence.
Solution : We have given that 2, 8, 14, 20, 26, ......
Common difference (d) = .
Where , . = any term other than first term
. = previous term.
Then common difference = 8 - 2 = 6.
14 - 8 = 6.
20 - 14 = 6.
Therefore, common difference = 6.
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Option C: x = 5.5 is the value of x
Explanation:
Given that CD, AE, an BF are the medians of the triangle ABC
Also, given that and
We need to determine the value of x.
Since, we know that the centroid divides the median in the ratio 2 : 1
Hence, we have,
Substituting the values, we get,
Simplifying, we get,
Subtracting both sides of the equation by 2x, we have,
Adding both sides of the equation by 5, we have,
Dividing both sides of the equation by 2, we get,
Therefore, the value of x is 5.5
Hence, Option C is the correct answer.