An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The table that represents an arithmetic sequence is the third table.
<h3>What is arithmetic sequence?</h3>
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₓ = a₁ + (x-1)d
where d is the difference and a₁ is the first term of the sequence.
For the table to be in an arithmetic sequence, the difference between any two consecutive terms must be equal.
- For the first table, the difference between the first two terms is -6, while for the next two terms it is -12. Thus, it is not an arithmetic sequence.
- In the second table, the difference between the first two terms is 2 while the difference between the next two terms is 4. Thus, it is not an arithmetic sequence.
- In the third table, the difference between the first two terms is 1.4, the difference between the next two terms is 1.4. Also, it last two terms the difference is 1.4. Thus, it is an arithmetic sequence.
Hence, the table that represents an arithmetic sequence is the third table.
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Note that (-6)^2 = (-6)(-6)
Multiply across. Remember that when multiplying two negative numbers, the product would be a positive answer
(-6) x (-6) = 36
36 is your answer
~<em>Rise Above the Ordinary, Senpai</em>
1200 - 450 = 750 liters that he needs to fill up
81.5 x 750 = €61,125
€61,125 x 0.075 = €4,584.38 (discount as a loyal customer)
total paid with discount = €61,125 - €4,584.38 = €56,540.62
answer
Mr. Leonard gets €4,584.38 discount on his purchase
Using an exponential function, it is found that:
a) The doubling time of the salary is of approximately 20 years.
b) The salary will be of $160,000.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
The growth rate for this problem is:
r = 0.035.
The doubling time is t for which A(t) = 2A(0), hence:
t = 20 years.
You retire in 40 years, which is 2 doubling periods, hence the salary will be of:
40000 x 2 x 2 = $160,000.
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Answer:
88
Step-by-step explanation:
From the question:
The average of 10 numbers is 85.
We have to find the total sum for the 10 numbers
Hence: 10 × 85 = 850
If the numbers 70 and 76 are removed from the set of numbers.
This means 10 number is reduced by 2
= 10 - 2 = 8
The total sum of the 8 numbers is
= 850 - (70 + 76)
= 850 - 146
= 704
The average of the remaining numbers is calculated as:
Sum of the 8 numbers/8
= 704/8
= 88.
Therefore, the sum of the remaining numbers is 88
