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
3(4x + 6) + 7x
12x + 18 + 7x
19x + 18 <==
The answer to the first question is 30.
Answer:
Equality
Inequality
Step-by-step explanation:
A = (1/2)(x)(y)
Let x = diagonal 1
Let y = diagonal 2
The product of xy = 144.
This means that x = 12 and y = 12.
So, 12 • 12 = 144
Each diagonal is 12 feet.
Prove:
72 feet = (1/2)(12)(12) feet
72 feet = (1/2)(144) feet
72 feet = 72 feet
