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Savatey [412]
3 years ago
15

Problem ID: PRABK2AZ

Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0

Answer: f(n+1) = 3 f(n)

Step-by-step explanation:

  • A recursive formula is used to determine each term of a sequence using preceding term or terms.

Given sequence : 2.5, 7.5, 22.5, 67.5, 202.5,...

Here,

2.5\times 3=7.5\\7.5\times3= 22.5\\22.5\times 3= 67.5\\67.5\times3=202.5

Common ratio = 3

Let f(n) be a term in this sequence then the next term will be f(n+1) = 3 f(n), where n is a natural number .

Required recursive formula :  f(n+1) = 3 f(n)

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Simplifying
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Multiply 3 * 0.6
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Solve: |2x − 1| &lt; 11. Edge 2020. Thanks!
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Step-by-step explanation:

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Select the correct answer.
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Factorize : x^2-12x-28+16y-y^2<br>​
bija089 [108]

Answer:

x=14

x=−2

Step-by-step explanation:

  Factoring  x2-12x-28

The first term is,  x2  its coefficient is  1 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  -28

Step-1 : Multiply the coefficient of the first term by the constant   1 • -28 = -28

Step-2 : Find two factors of  -28  whose sum equals the coefficient of the middle term, which is   -12 .

     -28    +    1    =    -27

     -14    +    2    =    -12    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  2

                    x2 - 14x + 2x - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-14)

             Add up the last 2 terms, pulling out common factors :

                   2 • (x-14)

Step-5 : Add up the four terms of step 4 :

                   (x+2)  •  (x-14)

            Which is the desired factorization

6 0
3 years ago
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