An environmentalist monitored the water quality of a river in city Xby measuring the conductivity of the river monthly. The conductivity of a water body is an early indicator of the water quality. Owing to implementation of activities which were harmful to the nature such as an oil spill, the conductivity in µS/cm of the river decreased. However, a continuous cleaning up plan had been carried out for the river from January until April 2020 and the conductivity measurement for the months had improved as follows: a1, a2, a3, a4, a5…, an 3, 12, 27, 48, 75, …., an 1. Let an represents the conductivity for nmonths since January 2020. By using n in the formula, determine the formula to represent the conductivity sequence, an. 2.What is the estimated conductivity for January 2021? 3. By assuming bn-1= an - an-1, the monthly improvement of conductivity can be represented by the following sequence. Based on the given sequence, determine bn. b1, b2, b3, b4, …, bn = (12-3), (27-12), (48-27), (75-48),…., bn = 9, 15, 21, 27,…., bn
An environmentalist monitored the water quality of a river in city Xby measuring the conductivity of the river monthly. The conductivity of a water body is an early indicator of the water quality. Owing to implementation of activities which were harmful to the nature such as an oil spill, the conductivity in µS/cm of the river decreased. However, a continuous cleaning up plan had been carried out for the river from January until April 2020 and the conductivity measurement for the months had improved as follows:
a1, a2, a3, a4, a5…, an
3, 12, 27, 48, 75, …., an
1. Let an represents the conductivity for nmonths since January 2020. By using n in the formula, determine the formula to represent the conductivity sequence, an.
2.What is the estimated conductivity for January 2021?
3. By assuming bn-1= an - an-1, the monthly improvement of conductivity can be represented by the following sequence. Based on the given sequence, determine bn.
b1, b2, b3, b4, …, bn
= (12-3), (27-12), (48-27), (75-48),…., bn
= 9, 15, 21, 27,…., bn
4. Based on the answer from (No.3) and assume mas the upper limit, express the summation of conductivity of improvement in terms of n.
5. Based on the answer from (No.4), calculate the summation of conductivity for the first 8 months.
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