Answer:
first we find the common difference.....do this by subtracting the first term from the second term. (9 - 3 = 6)...so basically, ur adding 6 to every number to find the next number.
we will be using 2 formulas....first, we need to find the 34th term (because we need this term for the sum formula)
an = a1 + (n-1) * d
n = the term we want to find = 34
a1 = first term = 3
d = common difference = 6
now we sub
a34 = 3 + (34-1) * 6
a34 = 3 + (33 * 6)
a34 = 3 + 198
a34 = 201
now we use the sum formula
Sn = (n (a1 + an)) / 2
S34 = (34(3 + 201))/2
s34 = (34(204)) / 2
s34 = 6936/2
s34 = 3468 <=== the sum of the first 34 terms:
Answer:
±3i
Step-by-step explanation:
Given the value ±√-9, we are to express the value using the imaginary number 'I'
±√-9 = ±√9×-1
= ±√9 × √-1
In complex number, √-1 = i
The expression becomes;
±√9 = ±3 × i
±√9 = ±3i
Hence the value in simplified form is ±3i
Given:

To verify:
for the given values.
Solution:
We have,

We need to verify
.
Taking left hand side, we get


Taking LCM, we get




Taking right hand side, we get



Taking LCM, we get


Now,

Hence proved.
Answer:
20
Step-by-step explanation:
Because 8 times 5 is 40, and if it is a triangle then it should be 20 because area as a triangle is base times height divided by two.