Answer:
x = 3, y = - 1, z = 1
Step-by-step explanation:
listing the coefficients
1 - 2 1 6 ← R1
3 1 - 1 7 ← R2
4 - 1 2 15 ← R3
We require the first entry in R2 to be 0 while retaining R1 and the first 2 entries of R3 to be 0, thus
R2 - 3R1 and R3 - 4R1
1 - 2 1 6 ← R1
0 7 - 4 - 11 ← R2
0 7 - 2 - 9 ← R3
Now R3 - R2
1 - 2 1 6 ← R1
0 7 - 4 - 11 ← R2
0 0 2 2 ← R3
From R3
2z = 2 ⇒ z = 1
Substitute z = 1 into R2
7y - 4(1) = - 11
7y - 4 = - 11 ( add 4 to both sides )
7y = - 7 ⇒ y = - 1
Substitute y = - 1, x = 1 into R1
x - 2(- 1) + 1 = 6
x + 2 + 1 = 6
x + 3 = 6 ( subtract 3 from both sides )
x = 3
Solution is (3, - 1, 1 )
Answer:
not b
Step-by-step explanation:
had this on test
Should be option B if I’m not wrong
The rule for the nth terms is: a_n=13n-5
Further explanation:
First of all we have to decide whether it is an arithmetic sequence or geometric sequence. It is decided based upon common difference or common ratio.
common difference is the difference between two consecutive terms of an arithmetic sequence while common ratio is the ratio between consecutive terms of a geometric sequence.
Here
Common difference:
As the common difference is same, the given sequence is an arithmetic sequence
The general formula for arithmetic sequence is:
Here
a1=8
d=13
The rule for the nth terms is: a_n=13n-5
Keywords: Arithmetic sequence, Common difference
Learn more about arithmetic sequence:
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