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Answer :
To find the next number in the given series, we need to identify the pattern of change between the numbers.
Let's look at the series: 87, 83, 79, 75, 71, 67
Subtract the second number from the first number:
[tex]87 - 83 = 4[/tex]Subtract the third number from the second number:
[tex]83 - 79 = 4[/tex]Subtract the fourth number from the third number:
[tex]79 - 75 = 4[/tex]Subtract the fifth number from the fourth number:
[tex]75 - 71 = 4[/tex]Subtract the sixth number from the fifth number:
[tex]71 - 67 = 4[/tex]
As we can see, the pattern is that each number is 4 less than the previous one. This is known as an arithmetic sequence with a common difference of -4.
Therefore, to find the next number in the series, we subtract 4 from the last number:
[tex]67 - 4 = 63[/tex]
Thus, the next number in the series is 63.
The correct multiple-choice option is 63.
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