Answer:
Step-by-step explanation:
<u>Solving exponents</u>
- a. 5^-2 = 1/5^2 = 1/25
- b. (3^2)^3/3^8 = 3^6/3^8 = 1/3^2 = 1/9
Answer:
24, 28, 32, 36.
Step-by-step explanation:
Hey! There's a Pattern! Can you see that we add 4 each time? Look at the last digits
Hope it helps! :)
Answer:
Step-by-step explanation:
Let the first term is a and common difference is d.
<u>The nth term is:</u>
<u>We have:</u>
<u>The difference of these terms is:</u>
- (a + 8d) - (a + 5d) = 16 - 15
- 3d = 1
- d = 1/3
<u>Then the first term is:</u>
- a + 5*1/3 = 15
- a = 15 - 5/3 = 13 1/3
<u>The nth term equation is:</u>
- aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13
<u>If the nth term is 22, find n:</u>
- 1/3n + 13 = 22
- 1/3n = 22 - 13
- 1/3n = 9
- n = 9*3
- n = 27
