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 =
Answer: 225
Step-by-step explanation:
Volume of the pyramid is calculated as 1/3 bh, where b is base and h is height
Given height as 39cm and a base of 10√3cm = 10 x √3, where √3= 1.73; base = 10 x 1.73 = 17.3
Slot the values into the formula:
Volume = 1/3 × 17.3 x 39
= 1/3 × 674.7 = 674.7/3
Volume = 224.9 approximately 225.
I hope this helps.
Answer:
31.4 meters
Step-by-step explanation: use the formula 2 times pi times 5 then you just plug in 5 into the radius
Answer:70
Step-by-step explanation:
Step-by-step explanation:
To divide fractions, we have to focus on 4 steps, which are:
1: Change to improper fractions
2: Keep the same
3: Change the sign to multiplication
4: Flip the 2nd fraction in the equation
So, step one:
1/3 / 4/5
Step two:
1/3 / 4/5
Step three:
1/3 x 4/5
Step four:
1/3 x 4/5 = (4 / 15)
4/15 is in simplist for.
Therefore, your answer is 4/15.
Best of Luck to you!!
