Answer:
See below.
Step-by-step explanation:
a.
The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.
b.
Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.
c.
The formula for adding n positive integers starting at 1 is:
1 + 2 + 3 + ... + n = n(n + 1)/2
For figure 55, n = 55.
n(n + 1)/2 = 55(56)/2 = 1540
d.
Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.
n(n + 1)/2 = 190
n(n + 1) = 380
We know that 380 = 19 * 20, so n = 19.
Answer: yes
e.
Use the formula above,
S = n(n + 1)/2, where S is the sum.
f.
n(n + 1) = 1478
38 * 39 = 1482
37 * 38 = 1406
Tis so easyAnswer:
1:> 2:< 3>
Step-by-step explanation:
Answer:
31
Step-by-step explanation:
I can't explain any further......
36 miles per hour if he ran 12 miles in 20 minuets and there are 60 minuets in an hour, then multiply the # by 3
Answer:
600
Step-by-step explanation:
Harry invests £5000 for 3 years.
He gets a simple interest of 4% per year.
Work out the total interest Harry gets.
Solution
The formula for simple interest
S.I = P*R*T/100
Where P = Principal = £5000
R = Rate = 4%
T = Time = 3 years
£ 5000 * 4 * 3 /100
50 * 4 * 3
£ 600.
