Step-by-step explanation:
A elements lies on B.............
(;
As can be seen in the figure attached, -19 is located on the left of -16.
Every point of a number line is assumed to correspond to a real number, and every real number to a point. So as we love leftwards on the number line, the values keep on decreasing. Similarly while moving rightwards on the number line, the values keep on increasing.
So, because it is known that -19 < -16,
-19 is located on the left of -16.
F(n): 12, -36, 108, -324, 972
A) arithmetic sequence; common difference is -48
B) arithmetic sequence; common difference is 144
C) geometric sequence; common ratio is -3
D) geometric sequence; common ratio is 3
The sequence N: 1, 2, 3, 4, 5; F(n): 12, -36, 108, -324, 972 is,
C) geometric sequence; common ratio is - 3.
An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
By observing the sequence N: 1, 2, 3, 4, 5; F(n): 12, -36, 108, -324, 972,
we can surely conclude that this is not an arithmetic sequence because the difference between the terms is not the same.
We know, In a geometric sequence numbers are written in the same constantratio(r), Therefore,
972/- 324 = - 324/108 = 108/ - 36 = - 36/12 = - 3.
So, It is a geometric sequence with a common ratio of - 3.
learn more about geometricsequence here :
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5, 45, 445, 4445, . . .
Choose all answers that are correct.
A.
Every term has a 5 in the ones place.
B.
Every term is a multiple of 5.
C.
Every term has 1 more digit than the previous term.
D.
Every term is a multiple of 10.
btw there are more then one
Choose all answers that are correct.