Which of the following subsets of vectors x y z are subspaces of R 3 ?
1 answer:
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Given equation: A(n - 3) +8= bn.
Solution: On the left side of the equation we have A(n-3).
We don't have any sign in between A and parenthesis (n-3).
So, we need to multiply A and (n-3).
We need to apply distributive property to multiply A and (n-3).
Distributing A over (n-3), we get
A(n-3) = A*n - 3*A = An -3A.
Substituting this value in original equation,
An -3A +8= bn.
We need to solve it for n, so we get n terms on a side.
We have An on left side, we need to get rid n from left side.
Subtracting An from both sides, we get
An -3A +8-An= bn-An.
-3A +8 = bn - An.
We can see n is a common factor on rigth side in bn-an.
Factoring out n on right side from bn-an.
-3A +8 = (b - A)n.
Dividing both sides by (b-A),
On right (b-A) paranthiss cancelled and we get n on right side.
Final answer.
So, that would be our final answer
n = (-3A+8)/(b-A)
Answer:
Step-by-step explanation:
a1 = 8
a9 = 56
Using formula for finding nth term of arithmeric sequence
We have to find 24th term, therefore n = 24
is the first term but we are missing d
d is the difference between the two consecutive terms, lets calculate it first
a9 = 56
Using the above given formula for finding d
put n = 9, a9= 56
56 = 8 + 8d
8d = 48
d = 6
Getting back to main part of finding 24th term
n = 24, d = 6, a1 = 8
put values in nth term formula