Consider the arithmetic series 
Let t=1 in the given series, we get
first term =
= 3-4 = -1.
Let t=2 in the given series, we get
second term =
= 
Let t=3 in the given series, we get
third term = 
Now, let t=18 in the given series, we get
last term = l = 
We get the series as
-1, 2, 5,..... 50
Sum = 
= 
= 
= 441
Therefore, the sum of the given arithmetic series is 441.
! means factorial, if you did not already know. It means multiply together all the numbers leading up to that number. For example, 4! = 4x3x2x1 = 24
Evaluate means just solve it.
9! = 9x8x7x6x5x4x3x2x1 = 362880
5! = 5x4x3x2x1 = 120
362880 - 120 = 362760
There is your answer
Answer:
x=−5
Step-by-step explanation:
Step 1: Subtract 5x from both sides.
−4x+10−5x=5x+55−5x
−9x+10=55
Step 2: Subtract 10 from both sides.
−9x+10−10=55−10
−9x=45
Step 3: Divide both sides by -9.
−9x
−9
=
45
−9
x=−5
Answer:
x=−5
<h2>
Thus, the required "option 4)" is correct.</h2>
Step-by-step explanation:
We find,

To find, the binomial expansion of of
= ?
We know that,

∴ 
Here, n = 7, x = x and y = 2y
= 


∴ The binomial expansion of of

Thus, the required "option 4)" is correct.