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ad-work [718]
3 years ago
13

The product of a number and its _____ is one.Please fill in the blank.

Mathematics
1 answer:
asambeis [7]3 years ago
4 0
Itself should go in the blank

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Plz do both of them for me and even show the work plzzzzzz
Vinvika [58]

Answer:

(a)= option 3

(b)= option 3

Step-by-step explanation:

(A) It is given that a sequence is defined by the recursive function  a_{1}=1 and a_{n}=a_{n-1}+n

Now, substituting the value of n=2 in above equation,

a_{2}=a_{1}+2

a_{2}=1+2

a_{2}=3

Again putting n=3,

a_{3}=a_{2}+3

a_{3}=3+3

a_{2}=6

Putting n=4,

a_{4}=a_{3}+4

a_{4}=6+4

a_{4}=10

Putting n=5,

a_{5}=a_{4}+5

a_{5}=10+5

a_{5}=15

Putting n=6,

a_{6}=a_{5}+6

a_{6}=15+6

a_{6}=21

Putting n=7,

a_{7}=a_{6}+7

a_{7}=21+7

a_{7}=28

Hence, option 3 is correct.

(B) The given sequence is :

5, -10, 20, -40, 80.....

Since, the given sequence is GP, therefore

a_{1}=5 and r=-2

The nth term is given by:

a_{n}=a_{1}r^{n-1}

For fifteenth term, put n=15 in above equation, we get

a_{15}=5(-2)^{14}

=5{\times}16384

=81920

Hence, the fifteenth term is 81920.

Option 3 is correct.

5 0
3 years ago
Estimate the perimeter of the figure to the nearest whole number.
KiRa [710]

Step-by-step explanation:

The perimeter is about 14 units.

each triangle is half of a square. two triangles make a whole square.

3 0
2 years ago
Read 2 more answers
Evaluate the expression.<br> 20 + 3 (8 – 5)
mylen [45]

Answer:

29

Step-by-step explanation:

  • 20 + 3(8-5)
  • 20 + 3(3)
  • 20 + 9
  • 29
6 0
3 years ago
HELP ME AGAIN I MIGHT PASS
trapecia [35]

Answer:

x=70

Step-by-step explanation:

it's 70 because 50 and 20 is proportional to x

4 0
2 years ago
Read 2 more answers
Ann is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
ipn [44]

Answer:

Ans: greater than 40 mileage  Company A will charge less than Company B

Step-by-step explanation:

as company A charges a fix amount $93 for any distance and company B charges variable amount starting from $65.there will be a certain mileage after that the amount charged by company B should be greater than company A.

let for greater than m mileage company A will

charge less than company B.

charge for company A for m mileage= $93

charge for company B for m mileage= $65 + $0.70*m

so,

   93  ≤ 65+0.70*m

93-65 ≤ 65+0.70*m -65

  28   ≤ 0.70*m

28*10 ≤ 7 *m

280     ≤ 7m

280/7  ≤ 7m/7

    40  ≤ m

4 0
3 years ago
Read 2 more answers
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