Sample Questions and Discussion Barisan Arithmetic

Example Problem Discussion and Barisan Arithmetic - In the foregoing, Mathematical Formulas Basic has given an explanation of Content Sequences and series Arithmetic Complete and this time we will give some sample questions with regard to the arithmetic sequence. There is also given steps to resolve such questions. let's, we just refer to with the discussion below:


Example Problem 1: [1945901million]
known sequence of numbers 1, 4, 9, 14, 19, 24 .... Etc.
Specify the formula n-th term of the sequence of numbers TSB!

Penyelasaiannya:
Dik: a = 1, b = 9-4 = 5
Dit : Un = a + (n-1) b
Un = -1 + (n-1) 5
Un = -1 + 5n -5
Un = 5n - 6
Thus, the formula nth sequence of numbers TSB is Un = 5n - 6

Example Problem 2: [1945901million]
It is known sequence of numbers 4, 1, -2, -5, -8 ...... etc
Specify rate to 20 of the sequence of numbers TSB!

Penyelasaiannya: [1945901million]
Dik: a = 4, b = 1-4 = -3
Dit: Un = a + (n-1) b
U20 = 4 + (20-1) (-3)
U20 = 4 + (19) (-3)
U20 = 4 -57
U20 = -53
Thus, the rate to 20 of the sequence of numbers that is -53

Example Problem 3: [1945901million]
Given the formula n a sequence ari tmatika is Un = 2n + 5. Determine the rate to 15 from that sequence!

Penyelasaiannya: [1945901million]
Dik: Un = 2n + 5.
DIT: U15
Answer: U15 = 2 (15) + 5
U15 = 30 + 5
U15 = 35
So the rate to 15 of the sequence number is 35.

Example Problem 4: [1945901million]
An arithmetic sequence is the first tribe to tribe 6 -5 and his is --3. Define different from the arithmetic sequence!

Penyelasaiannya:
Dik: U1 = a = -5 and U6 = -35
Dit: b

Answer:
Un = a + (n-1) b
U6 = -5 + (6-1) b
-35 = -5 + 5b
-35 + 5 = 5b
-30 = 5b
b = -6
Thus, different from that sequence is -6

Sample Problem 5: [1945901million]
Unknown tribe second arithmetic sequence is -6 and tribe to 5 is 9. Determine the tribe to 12nya!

[1945901million] Penyelasaiannya: [1945901million]
Dik: U2 = -6 and U5 = 9
Dit: U12

Answer: [1945901million]
U2 = -6
a + b = -6
a = -6 - b ............ (1)
U5 = 9
a + 4b = 9 ............ (2)
substitution (1) to (2)
(-6 - b) + 4b = 9
- 6 + 3b = 9
3b = 9 +6
b = 5
substitution b = 5, to (1)
a = -6 -5 = -11
then -> U12 = a + 11b
U12 = -11 + 11 (5)
U12 = -11 + 55
U12 = 44
So the 12th tribe of the sequence number is 44.

Thus Example Problem Discussion and Barisan Arithmetic we can give on this occasion. I hope you can understand it well so that it can be easier to solve the problems serupa.Sampai meet again in the discussion of the questions !!!

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