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What is the sum of the arithmetic sequence?
The sum of an arithmetical sequence whose nth term is U(n) = a + (n-1)*d is S(n) = 1/2*n*[2a + (n-1)d] or 1/2*n(a + l) where l is the last term in the sequence.
the points L, M and N are such that LMN is a straight line. the coordinates of L are (-3, 1)the coordinates of M are (4, 9)given that LM:MN=2:3find the coordinates of N?
First, we can use the distance formula to find the length of LM: d(L,M) = sqrt((4 - (-3))^2 + (9 - 1)^2) = sqrt(49 + 64) = sqrt(113) Since LM:MN = 2:3, we can express the distance from L to N as (3/2) times the distance from L to M: d(L,N) = (3/2) * d(L,M) = (3/2) * sqrt(113) To find the coordinates of N, we need to determine the direction from M to N. We know that LMN is a straight line, so the direction from M to N is the same as the direction from L to M. We can find this direction by subtracting the coordinates of L from the coordinates of M: direction = (4 - (-3), 9 - 1) = (7, 8) To find the coordinates of N, we start at M and move in the direction of LMN for a distance of (3/2) * d(L,M): N = M + (3/2) * d(L,M) * direction / ||direction|| where ||direction|| is the length of the direction vector, which is: ||direction|| = sqrt(7^2 + 8^2) = sqrt(113) Substituting the values, we get: N = (4, 9) + (3/2) * sqrt(113) * (7/sqrt(113), 8/sqrt(113)) Simplifying, we get: N = (4 + (21/2), 9 + (24/2)) = (14.5, 21) Therefore, the coordinates of N are (14.5, 21). Answered by ChatGPT 3
What has 2 o's 2 n 's an l and a d?
London
L N G E D N A?
E N G L A N D
When the magnetic quantum number m depends on the possible values of?
It depends whether you mean ml or ms.There are 4 quantum numbers, n, l, ml, msThey have long names respectively principal, azimuthal (angular momentum), magnetic and spin.n can have values 0, 1, 2, 3, 4, 5......l depends on n, and can have values, 0 to (n-1) (0 is an s orbital, 1 is a p subshell, 2 is a d subshell, 3 is a f subshell etcml can have -l to +l (sorry this font is rubbish the letter l looks like a 1) so for a d orbital, where l = 2, it can be -2, -1 0, +1, +2. Five d orbitals in all.ms can be -1/2 or +1/2 (These are the maximum of 2 electrons having opposite spin)l depends on n, and can have values, 0 to (n-1) (0 is an s orbital, 1 is a p subshell, 2 is a d subshell, 3 is a f subshell etcRead more: What_are_the_possible_values_for_the_quantum_numbers
What electron could have quantum numbers n 3 l 0 ml 0 ms?
A 3s electron
What does p r n d 2 l in an automatic Hyundai stand for?
P Park R Reverse N Neutral D Drive 2 Second gear L Low gear
What is first difference?
In a sequence of numbers, a(1), a(2), a(3), ... , a(n), a(n+1), ... he first differences are a(2) - a(1), a(3) - a(2), ... , a(n+1) - a(n) , ... Alternatively, d the sequence of first differences is given by d(n) = a(n+1) - a(n), n = 1, 2, 3, ...
What are allowable sets of quantum numbers?
n = 3, l = 2, ml = 1n = 3, l = 2, ml = -2
What are the different combinations you can use to make 0.35 only using quarters dimes and nickels?
1 q 1 d 1 q 2 n 2 d 3 n 3 d 1 n 1 d 5 n 7 n
How many ways can you make change for a dollar using nickels dimes andor quarters?
There are 22 ways to make change from a dollar using nickels, dimes, and quarters. 1. 4 q 2. 10 d 3. 20 n 4. 2 q , 5 d 5. 3 q , 2 d , 1 n 6. 1 q , 7 d, 1 n 7. 9 d, 2 n 8. 8 d, 4 n 9. 7 d, 6 n 10. 6 d , 8 n 11. 5 d , 10 n 12. 4 d , 12 n 13. 2 d , 16 n 14. 1 d , 18 n 15. 5 n , 3 q 16. 3 n , 1 q , 6 d 17. 7 n , 1 q , 4 d 18. 9 n , 1 q , 3 d 19. 11 n , 1 q , 2 d 20. 13 n , 1 q , 1 d 21. 14n , 3 d 22. 15n , 1 q
What is the general sum of an arithmetic sequence?
Given an arithmetic sequence whose first term is a, last term is l and common difference is d is:The series of partial sums, Sn, is given bySn = 1/2*n*(a + l) = 1/2*n*[2a + (n-1)*d]
