A sequence of numbers is given: 78, 52, 91, 54, 84, 58. What would be the rule that is governing this sequence?AThe product of any two consecutive terms has 4 at the hundreds placeBThe product of any two consecutive terms has 4 at the thousands placeCThe product of any two consecutive terms has 4 at the tens placeDNone of these
Question
A sequence of numbers is given: 78, 52, 91, 54, 84, 58. What would be the rule that is governing this sequence?AThe product of any two consecutive terms has 4 at the hundreds placeBThe product of any two consecutive terms has 4 at the thousands placeCThe product of any two consecutive terms has 4 at the tens placeDNone of these
Solution
To find the rule governing this sequence, we need to multiply each pair of consecutive terms and observe the result.
- 78 * 52 = 4056
- 52 * 91 = 4732
- 91 * 54 = 4914
- 54 * 84 = 4536
- 84 * 58 = 4872
Looking at the results, we can see that the hundreds place of each product is 4. Therefore, the rule governing this sequence is: The product of any two consecutive terms has 4 at the hundreds place. So, the answer is A.
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