
a) <u>n² + 6 </u>
~Here n is the number of term. So, put n = 1,2,3,4.... to get the term.
- If n = 1, first term = 1² + 6 = 7
- n = 2, second term = 10
- n = 3, third temm = 15
- n = 4, fourth term = 22
- n = 10, tenth term = 106
b) <u>3n²</u>
- If n = 1, first term = 3
- n = 2, second term = 12
- n = 3, third term = 27
- n = 4, fourth term = 48
- n = 10, tenth term = 300
Answer:
1. x = 1, y = -3
2. x = 3, y = 4
Step-by-step explanation:
Here, we want to solve the sets of simultaneous equations;
a) -y = 5x-2
-3y = -5x + 14
substitute 1 into ii
3(5x-2) = -5x + 14
15x - 6 = -5x + 14
15x + 5x = 14 + 6
20x = 20
x = 20/20
x = 1
from;
-y = 5x - 2
y = -5x + 2
y = -5(1) + 2
y = -3
b) -2y = -6x + 10
2y = x + 5
Substitute ii into i
-(x + 5) = -6x + 10
-x - 5 = -6x + 10
-x + 6x = 10 + 5
5x = 15
x = 15/5
x = 3
2y = x + 5
2y = 3 + 5
2y = 8
y = 8/2
y = 4
Answer:

Step-by-step explanation:
You got $6000 more, so each year you gain $500. Now we calculate the percentage out of 10,000 to find the simple interest rate:

To change fraction to percentage, x 100
3/25 x 100 =12%