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11. Complete the series:
138972,
150083,
161194,
______


Sagot :

To complete the given series 138972, 150083, 161194, let's follow these steps:

1. Identify the given series:
[tex]\[ 138972, 150083, 161194 \][/tex]

2. Calculate the differences between consecutive terms:
[tex]\[ 150083 - 138972 = 11111 \][/tex]
[tex]\[ 161194 - 150083 = 11111 \][/tex]

3. Observe that the differences are consistently the same:
The difference between the consecutive terms is 11111.

4. Use this common difference to find the next term in the series:
To find the next term, add the common difference to the last term in the series:
[tex]\[ 161194 + 11111 = 172305 \][/tex]

Therefore, the complete series with the next term included is:
[tex]\[ 138972, 150083, 161194, 172305 \][/tex]
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