Answer:
First term: 5
Fourth term: 5 1/2
Tenth term: 6 1/2
Step-by-step explanation:
Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:
A(n) = 5 + (n-1) (1/6)
First term:
A(1) = 5 + (1-1) (1/6)
A(1) = 5 + (0) (1/6)
A(1) = 5
Fourth term:
A(4) = 5 + (4-1) (1/6)
A(4) = 5 + (3) (1/6)
A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)
Tenth term:
A(10) = 5 + (10-1) (1/6)
A(10) = 5 + (9) (1/6)
A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)
Answer:
Step-by-step explanation:
I have to go with 9r-18= -27 is my answer for your math
To Your First Nine Friends, You Give Them 1 Apple Each. Your Tenth Friend, You Give Her The Basket With The Tenth Apple. She Has The Apple, And The Basket?
Write out the slope formula:
m = (change in y) / (change in x)
Here,
m = n-(-9) / (-6-(-2)) = (n+9 / (-4)
Now set this slope equal to -1 and solve the resulting equation for n:
(n+9) / (-4) = - 1, or (n+9) / 4 = 1, or n+9 = 4. Then n = -5.