Sum = n/2[2a + (n - 1)d] where a = first term, n = number of terms and d = common difference
(a) 30/2(2 x 5 + (30 - 1) x d) = 1455
10 + 29d = 1455 / 15
29d = 97 - 10
d = 87 / 29 = 3
(b) 7/2(2 x 9 + (7 - 1)d) = 0
18 + 6d = 0
6d = -18
d = -3
Answer:
Y(n) = 7n + 23
Step-by-step explanation:
Given:
f(0) = 30
f(n+1) = f(n) + 7
For n=0 : f(1) = f(0) + 7
For n=1 : f(2) = f(1) + 7
For n=2 : f(3) = f(2) + 7 and so on.
Hence the sequence is an arithmetic progression with common difference 7 and first term 30.
We have to find a general equation representing the terms of the sequence.
General term of an arithmetic progression is:
T(n) = a + (n-1)d
Here a = 30 and d = 7
Y(n) = 30 + 7(n-1) = 7n + 23
Answer:
-14 and 4
Step-by-step explanation:
add and subtract 9 from -5
Answer:
w to r to a
Step-by-step explanation:
e to c to p
Draw a rectangle with one side equal to 84 in. and the other side equal to 65 in. We know that area = l*w, so the area of the rectangle is 5,460 sq. in. Since Mr. Horn cut the piece of plywood in half, he produces two identical pieces of plywood, with half the amount of area as the original. So, 5,460 sq. in. divided by 2 = 2,730 sq. in.
