The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:
S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.
Answer:
10
Step-by-step explanation:
a = 2 and b= 3
(a + b)2
(2 + 3)2
10
The domain of the function f(x) is where the area under the square root (aka the radicand) is positive or zero. We have to write that the radicand is greater than or equal to zero, so

.
C
Answer:
68cm^2
Step-by-step explanation:
Well there's not much to explain - the problem statement does it for us.
The surface area is equal to the sum of areas of the walls. There's 2 l*w walls, 2 l*h walls and 2 h*w walls.
SA = 2*l*h + 2*l*w + 2*h*w
SA = 2*4cm*6cm + 2*4cm*1cm + 2*6cm*1cm = 48cm^2 + 8cm^2 + 12cm^2 = 68cm^2
The possible dimension are :
400 = 1 x 400
400 = 2 x 200
400 = 4 x 100
400 = 5 x 80
400 = 8 x 50
400 = 10 x 40
400 = 16 x 25
400 = 20 x 20