Answer:
The
term of A.P sequence
tₙ = 9 n - 26
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given sequence
- 17 , -8 , 1 .......
first term = -17
Second term = - 8
The difference of first two terms
d = - 8 -(-17) = -8+17 = <em>9</em>
The difference of next two terms
d = 1 - (-8) = 1+8 = 9
∴ The given sequence is in A.P ( Arthimetic progression)
<u><em>Step(ii):-</em></u>
The
term of A.P sequence

Given a = - 17 and d = 9

<u><em>Final answer</em></u>:-
The
term of A.P sequence
tₙ = 9 n - 26
19 cause you have to multiply by that
Answer:
The correct option is D
D) The graph of function f(x) is shifted right 3 units and up 4 units
Step-by-step explanation:
Lets the function be y = f(x)
To shift the graph 3 units to the right, we add -3 to the x term of the function:
Function becomes y' = f(x-3)
Then to shift the graph up by 4 units, we add -4 to the y term of the function:
Function becomes:
y - 4 = f(x-3)
y = f(x-3) +4
g(x) = f(x-3) +4
Hence the correct option is D, as the graph is shifted to the right by 3 units and also shifted up by 4 units
Answer: C
Step-by-step explanation:
The slope stays the same but the y-intercept is moved up 7 units.
Answer:
The options are not clearly written but, the volume of square based pyramid is 1/6 the volume of a cube because each of the six faces of the cube will contain one square based pyramid.
Step-by-step explanation:
Let the length of each side of your cube be x
the height of each of the six enclosed pyramids would be x/2. So the volume of each pyramid would be given by:
V = (1/3) × base area × height
V = (1/3) × x^2 × (x/2) = (x^3)/6