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Sagot :
To determine the next term in the series [tex]\(23.16, 39, 55, 94\)[/tex], we will first examine the differences between consecutive terms in the sequence.
1. Calculating the difference between the first term and the second term:
[tex]\[ 39 - 23.16 = 15.84 \][/tex]
2. Calculating the difference between the second term and the third term:
[tex]\[ 55 - 39 = 16 \][/tex]
3. Calculating the difference between the third term and the fourth term:
[tex]\[ 94 - 55 = 39 \][/tex]
Next, to find the probable next term in the series, we add the last obtained difference to the last term in the series:
[tex]\[ 94 + 39 = 133 \][/tex]
So, after careful analysis, the next term in the series is 133.
1. Calculating the difference between the first term and the second term:
[tex]\[ 39 - 23.16 = 15.84 \][/tex]
2. Calculating the difference between the second term and the third term:
[tex]\[ 55 - 39 = 16 \][/tex]
3. Calculating the difference between the third term and the fourth term:
[tex]\[ 94 - 55 = 39 \][/tex]
Next, to find the probable next term in the series, we add the last obtained difference to the last term in the series:
[tex]\[ 94 + 39 = 133 \][/tex]
So, after careful analysis, the next term in the series is 133.
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