Givens
Sequence 2, - 4, 8, -16, 32 ....
First term = a = 2
Problem
Find the nth term
tn = (-1 )^(n -1) * (a)^n answer or
tn = (-1)^(n - 1) * 2^n
where a is defined as the first term (it usually is given that designation).
Try a few to make sure the formula is correct
<em>n = 1</em>
t1 = (-1)^(1 - 1) * 2^1
t1 = (-1)^0 * 2
t1 = 1 * 2 = 2
<em>n =2</em>
t2 = (-1)^(2 - 1) * 2^2 = (-1)^1 * 4 = -4
Answer:
8.70%
Step-by-step explanation:
Percentage error = (difference between estimated value and actual value / actual amount spent) x 100
difference between estimated value and actual value = estimated value - actual amount
$250 - $230 = $20
($20 / $230) x 100 = 8.6957%
Each of the first 3 letters can be chosen from the 23 letters, {A, B, C, …, U, V, W}, so there are 23³ possible choices.
The first 2 digits can be any number from {0, 1, 2, …, 9}, so there are 10² choices.
The last digit cannot be 0 or 9, so you can select from {1, 2, 3, …, 8} which gives 8 choices.
Then the total number of PINs that you can make is
23³ × 10² × 8 = 9,733,600
Sorry i cant exactly help you with this one because im in 6th grade so i dont really know problems like this yet.
Answer:
96 squared units
Step-by-step explanation:
Please find attached the diagram used in answering this question
The surface area is equal to the area of each shape
Area of a triangle = Area of a triangle = 1/2 x ( base x height)
1/2 x 2 x 3= 3
there are 4 triangles, area of both triangles = 3x4 = 12
Area of rectangle = length x width
Area of middle rectangle = 6 x 7 = 42
Area of two side rectangles = (3 +3) x 7 = 42
surface area = 42 + 42 + 12 = 96
