Answer:
73155 is the required 3rd number that will complete the sequence as: 88511, 16351, 73155 , 10251.
Step-by-step explanation:
So, let us consider 88511 and determine the pattern to find the next number and so on to complete the sequence.
Adding the first 2 digits in the number 88511 i.e. 8 + 8 = 16
Subtracting the 3rd digit from the 2nd digit i.e. 8 - 5 = 3
Multiplying the 3rd digit and 4th digit i.e. 5 × 1 = 5
Dividing the 4th digit by the 5th digit i.e. 1 ÷ 1 = 1
Hence, using these steps would get us the number 16351.
So, the next number would be obtained using same steps:
Adding the first 2 digits in the number 16351 i.e. 1 + 6 = 7
Subtracting the 3rd digit from the 2nd digit i.e. 6 - 3 = 3
Multiplying the 3rd digit and 4th digit i.e. 3 × 5 = 15
Dividing the 4th digit by the 5th digit i.e. 5 ÷ 1 = 5
Hence, using these steps would get us the number 73155.
So, the next number would be obtained using same steps:
Adding the first 2 digits in the number 73155 i.e. 7 + 3 = 10
Subtracting the 3rd digit from the 2nd digit i.e. 3 - 1 = 2
Multiplying the 3rd digit and 4th digit i.e. 1 × 5 = 5
Dividing the 4th digit by the 5th digit i.e. 5 ÷ 5 = 1
Hence, using these steps would get us the final number 10251.
So, from this pattern method, we determine that 73155 will be the 3rd number in the sequence: 88511,16351,?,10251.
So, the complete sequence would be: 88511, 16351, 73155, 10251.
Keywords: sequence, number
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= (cos2x+1)(cos2x+1)/4 
