Study the graphs of the infinite sequences below. Answer questions 4 through 11

Question

Study the graphs of the infinite sequences below. Answer questions 4 through 11 by circling the letters of all graphs, if any, for which the statement is true. 4. The sequence is arithmetic. A B C D None 5. The sequence is geometric. A B C D None 6. The sequence is the Fibonacci sequence. A B C D None 7. The sequence sums to a finite number. A B C D None 8. The domain of the sequence is the set of non-negative integers. A B C D None 9. Sequence(s) where one quantity changes at a constant rate per interval relative to another quantity. A B C D None 10. Sequence(s) where one quantity changes at a constant percentage rate per interval relative to another quantity. A B C D None 11. One possible definition of the sequence is: a_n = a_n-1 + (n-2); a_1 = 1 A B C D None

Explanation / Answer

Ans(4):

A only as that is straight line.

-------------

Ans(5):

To be geometric ratio of y-values of consecutive points must be equal.

clearly A is not possible

--------------------

check for B

for first two points ratios is -4/-6=2/3

for 2nd and third point, ratio is -3/-4=3/4

which are not equal so B is also not possible.

-------------------------

check for C

for first two points ratios is 4/-7

for 2nd and third point, ratio is -2.5/4=-25/40=-5/8

again not equal so C is not possible

--------------------

check for D

for first two points ratios is 1/1=1

for 2nd and third point, ratio is 2/1=2

which are not equal so D is also not possible.

Hence NONE is the right option.

-------------------------------------

Ans(6):

NONE

as it follows rule given in question 11.

------------------

Ans(8):

A,B,C,D are correct

---------------

Ans(11):

only D is correct

you can check by plugging values

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---