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<u>Answer-</u>
<em>The total amount of water wasted this year is 6716 gallons.</em>
<u>Solution-</u>
A study indicated that the citizens of Morris-town wasted 5840 gallons of water last year.
This year they wasted 15% more than that amount they wasted previous year.
15% of 5840 is,
The total amount of water wasted this year =
The amount of water wasted previous year + 15% more of the amount of that
= 5840 + 876
= 6716 gallons
Therefore, the total amount of water wasted this year is 6716 gallons
Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =