Answer:
A an = -3 * (1/8) ^ (n-1)
Step-by-step explanation:
We know the first term a1 = -3
And the common ratio r = 1/8 from the an = an-1 * 1/8
The explicit formula is
an = a1 r^ (n-1)
an = -3 * (1/8) ^ (n-1)
Hello from MrBillDoesMath!
Answer:
x = 2
Discussion:
See attachment for full detail.
Thank you,
MrB
Answer:
2r(2r), r, pi/4, pi times r cubed
Step-by-step explanation:
just took it
The area of the parallelogram spanned by the given vectors is equal to the magnitude of their cross product.
(i + j + k) × (-2i + 3j + k)
= -2 (i × i) - 2 (j × i) - 2 (k × i)
… + 3 (i × j) + 3 (j × j) + 3 (k × j)
… + (i × k) + (j × k) + (k × k)
= - 2 (j × i) - 2 (k × i) + 3 (i × j) + 3 (k × j) + (i × k) + (j × k)
= 2 (i × j) - 2 (k × i) + 3 (i × j) - 3 (j × k) - (k × i) + (j × k)
= 5 (i × j) - 3 (k × i) - 2 (j × k)
= 5 k - 3 j - 2 i
Then the area of the parallelogram is
||-2 i - 3 j + 5 k|| = √((-2)² + (-3)² + 5²) = √38
