The first term of an arithmetic sequence is 4 and the fifth term is 16. What is the nth term of the sequence?
1 answer:
First term, a = 4 Fifth term = 16 The nth term of arithmetic sequence : a + (n - 1)*d For fifth term, n = 5 a + (n - 1)*d Substitute n = 5, a = 4, d = ?, 5th term = 16 4 + (5 - 1)d = 16 4 + 4d = 16 4d = 16 - 4 4d = 12 Divide by 4 d = 12/4 d = 3. Recall the nth term is: a + (n - 1)*d = 4 + (n - 1)*3 4 + (n - 1)*3 4 + 3n - 3 3n + 4 - 3 3n + 1 So the nth term is 3n + 1. Option B. Hope this helps
You might be interested in
In order to invert a function, switch y and x in the definition, and solve for y again:
Solving for y, we have
The answer is 23 because 5 x 4 +3 is 23
There are 6! possible permutations of the blue books, 2 possible permutations of the red books, 4! possible permutations of the green books and 3! possible permutations of the three color groups. therefore the total number of ways of arranging the books is given by:
Answer:
divide 7/100 which is 0.07
multiply that by 13.75, and you get 0.96
13.75+0.96= $13.20
(this is including sales tax)
To find the area of a sector use the equation A=r^2 x a/2 When you plug in the radius and the central angle you should get an area of 150.8