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FinnZ [79.3K]
3 years ago
10

Find the tenth term in each sequence:- A. -2,-6,-18,-54 B. 7,9,12

Mathematics
2 answers:
Eddi Din [679]3 years ago
8 0

Answer:  A) 39,366        B) 61

<u>Step-by-step explanation:</u>

A) -2, -6, -18, -54, ....

each following term is multiplied by 3 so it is a geometric series

a_n=-2(3)^{n-1}\\\\\\a_{10}=-2(3)^{10-1}\\.\quad =-2(3)^{9}\\.\quad =-2(19,683)\\.\quad =\boxed{-39,366}

B) 7, 9, 12, ...

each following term is +n, so it is neither arithmetic or geometric

7 + 2 = 9

9 + 3 = 12

12 + 4 = 16

16 + 5 = 21

21 + 6 = 27

27 + 7 = 34

34 + 8 = 42

42 + 9 = 51

51 + 10 = 61           The 10th term is 61

g100num [7]3 years ago
7 0
Tenth term in A is -39366 but B isn’t a sequence or series
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By what percent will the product of two numbers change, if the first number increases by 70%, while the second number decreases
FinnZ [79.3K]

Answer:

2%

Step-by-step explanation:

Let x be the first number

It increases by 70 %

The new number is

m = x+ .70x

   = 1.7x

Let y be the second number

It decreases by 40 %

The new number is

n =y - .40 y

  = .6y


The product of the original numbers is xy

The product of the new number is

mn = (1.7x * .6y) = 1.02xy

The new number is larger than the old number so it is an increase.

Percent increase is  new - original divided by original  times 100%

Percent increase = (1.02 xy - xy)

                                -----------------  * 100%

                                 xy  

                           = .02 xy

                                ------- * 100 %

                                 xy  

                            = .02 * 100 %

                             = 2%



5 0
3 years ago
(04.03) The graph shows the amount of money paid when purchasing bags of candy at the 2008
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Which of the following is a factor of 2xy + 8y − 8x − 32?
muminat
You could start by eliminating wrong answer(s):

(a) 5 is definitely not a factor of the given <span>2xy + 8y − 8x − 32,

(d) x^2 - 4x + 16 (not x2 - 4x + 16) is not a factor (it has no y terms)

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(c) x + 4 divides evenly into both xy + 4y and -(4x + 16):
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