Given :
The sequence is given as : 3, 6, 12, 24, 48, 96,...
To Find :
A formula to represent the nth term of the given sequence.
Solution :
Breaking down each term we get :
3 = 3 × 2⁰ 1 - term
6 = 3 × 2¹ 2 - term
12 = 3 × 2² 3 - term
24 = 3 × 2³ 4 - term
48 = 3 × 2⁴ 5 - term
From above observation we can say that n th term is given by 3 × 2ⁿ⁻¹ .
Therefore, the nth them of the sequence is given by ( 3 × 2ⁿ⁻¹ ) .
A counterexample could be -2.
-2+-2= -4
-4<-2
Hope this helps!
Answer:
7560.766
Step-by-step explanation:
The equation for the volume of a right cone is .
r = radius = 38/2 = 19cm
h = height = 20cm
Therefore:
Answer:
m = 3/5
b = -5
Step-by-step explanation:
Equation for y-intercept form is y=mx + b
No math is needed, you have the answer already
X + 9y = 5 .....multiply by -1
4x + 9y = -7
-----------------
-x - 9y = -5 (result of multiplying by -1)
4x + 9y = -7
----------------add
3x = -12
x = -12/3
x = -4
x = 5 - 9y
-4 = 5 - 9y
-4 - 5 = - 9y
-9 = - 9y
-9/-9 = y
1 = y
solution is (-4,1)
====================
3x = 5y - 9
-3x = -2y + 3 ....I rearranged this equation from 2y = 3x + 3
----------------add
0 = 3y - 6
6 = 3y
6/3 = y
2 = y
3x = 5y - 9
3x = 5(2) - 9
3x = 10 - 9
3x = 1
x = 1/3
solution is (1/3,2)
====================
10x - 3y = 5....rearranged from 10x - 5 = 3y
2x - 3y = 1...multiply by -1
---------------
10x - 3y = 5
-2x + 3y = -1 (result of multiplying by -1)
---------------add
8x = 4
x = 4/8
x = 1/2
10x - 5 = 3y
10(1/2) - 5 = 3y
5 - 5 = 3y
0 = 3y
0 = y
solution is (1/2,0)
======================
-6x - 4y = 10....multiply by -2
-12x - y = 13
----------------
12x + 8y = -20 (result of multiplying by -2)
-12x - y = 13
-----------------add
7y = - 7
y = -7/7
y = -1
-6x - 4y = 10
-6x - 4(-1) = 10
-6x + 4 = 10
-6x = 10 - 4
-6x = 6
x = -6/6
x = -1
solution is (-1,-1)