Question

100, 99, 96 ,91 ,84, 75,64,the next number in the series is​

Answer 1

Answer:

51

Step-by-step explanation:

100-99=1

99-96=3

96-91=5

91-84=7

84-75=9

75-64=11

64-51=13

There is the difference of odd numbers between this given numbers.

Answer 2

Answer:

The series "100, 99, 96, 91, 84, 75, 64" appears to be a decreasing arithmetic progression, where a constant amount decreases each term.

Step-by-step explanation:

o determine the next number in the series, we need to find the common difference: the amount by which each term decreases.

To find the common difference, we can subtract the second term from the first term, the third term from the second term, and so on. In this case, the common difference is 99 - 100 = -1, 96 - 99 = -3, 91 - 96 = -5, 84 - 91 = -7, 75 - 84 = -9, and 64 - 75 = -11.

Since the common difference is inconsistent, it appears this is not an arithmetic progression. However, we can see a pattern where each term is decreased by a multiple of 3. In other words, the next term will be decreased by 3 times the number of terms before it. Based on this pattern, the next term in the series should be 64 - (3 * 7) = 28.

In conclusion, the next number in the series, "100, 99, 96, 91, 84, 75, 64" is 28. This series appears to follow a pattern where each term is decreased by a multiple of 3.

To learn more about series, click on the given link.

https://brainly.in/question/2044582

To learn more about arithmetic progression click on the given link.

https://brainly.in/question/52049172

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