What is a formula for the nth term of the given sequence? 8, 17, 26...

80!

Step-by-step explanation:

based on this sequence on numbers, you add 9 to every number

1. 8

2. 17

3. 26

4. 35

5. 44

6. 53

7. 62

8. 71

9. 80

answers are below

Step-by-step explanation:

i don't know if you need an explicit or recursive rule so i'll include them both.

Given Info:

Sequence: 8, 17, 26,...

f(1) = 8

Find the common difference (d)

17 - 8 = 9

26 - 17 = 9

=> Common difference (d) = 9

Explicit rule: f(n) = f(1) + d(n-1)

=> f(n) = 8 + 9(n-1)

Recursive rule: f(n) = f(n-1) + d

=> f(n) = f(n-1) + 9

FINAL ANSWERS:

The explicit rule is: f(n) = 8 + 9(n-1)

The recursive rule is: f(1) = 8; f(n) = f(n-1) + 9

hope this helps and is right :)

goog may be able to you find that answer

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15