Answer:
Therefore answer is 111
Step-by-step explanation:
Consider it as an AP excluding 1
as we know that i = _/1 = root 1 = 1
then...
AP = 2 + 4 + 6 + 8 + ... + 20
here:
a=2 , d= A2 - A1 = 4 - 2 = 2
using formulae
An = a+(n-1)d
20 = 2 + (n-1)2
20 - 2 = (n-1)2
18 = (n-1)2
18 ÷ 2 = n-1
9 = n-1
9+1 = n
10 = n
now using formula..
Sn = n÷2 [2a + (n-1)d ]
S10 = 10÷2 [ 2×2+(10-1)2]
= 5 [4 + 9×2]
= 5 [ 4 + 18]
= 5 [22]
= 5×22
=110
now add 1 that we have excluded at begining....
110+1 = 111
Therefore answer is 111
I Hope It's Helpful
Hint The Brainliest :0
Answer: The required value of the given expression is 2.
Step-by-step explanation: We are given to find the value of the following complex expression :
[tex]E=i^{20}+1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following value of the imaginary number i (iota) :
[tex]i=\sqrt{-1}~~~~~\Rightarrow i^2=-1.[/tex]
From expression (i), we get
[tex]E\\\\=i^{20}+1\\\\=(i^2)^{10}+1\\\\=1^{10}+1\\\\=1+1\\\\=2.[/tex]
Thus, the required value of the given expression is 2.
