Correct option is D
The sequence given is: 2,14,70,210,?
We need to identify the logic connecting the numbers and find the next term.
Step 2: Analyze the relationships between consecutive terms
Relationship between 222 and 141414:
Here, the second number is obtained by multiplying the first number by 777.
Relationship between 141414 and 707070:
Here, the third number is obtained by multiplying the second number by 555.
Relationship between 707070 and 210210210:
Here, the fourth number is obtained by multiplying the third number by 333.
Step 3: Identify the pattern
The multipliers between consecutive terms are:
The pattern shows that the multipliers are decreasing by 222 each time:
Step 4: Apply the pattern to find the next term
To find the next term in the sequence, multiply 210210210 by the next multiplier, 111:
Final Answer:
The number that replaces the question mark is:D. 210
Thus, the complete sequence is: