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Vlad1618 [11]
3 years ago
10

Look at the table. Make a conjecture about the sum of the first 20 positive even numbers.

Mathematics
2 answers:
kirill [66]3 years ago
6 0

Answer:

Hence, the conjecture for the sum of first 20 positive integer is:

20×21=420

Step-by-step explanation:

The table is given as:

2                        = 2 =1.2

2+4                    = 6 = 2.3

2+4+6                = 12 = 3.4

2+4+6+8            = 20 = 4.5

2+4+6+8+10      = 30 = 5.6

Hence, we see the pattern as:

2+4+6+....+2n= n(n+1)

which is the sum of first n even positive integers.

Hence, we are asked to find the sum of first 20 positive even numbers that is we are asked to find the sum when n=20.

i.e. the sum of:

2+4+6+8+..........+40=20(20+1)

2+4+6+8+........+40=20×21=420.

Hence, the conjecture for the sum of first 20 positive integer is:

20×21=420

Ludmilka [50]3 years ago
3 0
It will be 20*21 based on the pattern in the chart
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Romashka-Z-Leto [24]

Answer:

56.4

Step-by-step explanation:

To convert decimal number 86.25, we convert its integer and fraction part individually and then add them to get the equivalent hexadecimal number, as below:

To convert integer 86 to hexadecimal, follow these steps:

Divide 86 by 16 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get the equivalent hexadecimal number.

86 / 16 = 5 with remainder 6

5 / 16 = 0 with remainder 5

Here is the answer to 86 decimal to hexadecimal number:

56

For converting decimal fraction 0.25 to hexadecimal number, follow these steps:

Multiply 0.25 by 16 keeping notice of the resulting integer and fractional part. Continue multiplying by 16 until you get a resulting fractional part equal to zero (we calcuclate upto ten digits).

Then just write out the integer parts from the results of each multiplication to get equivalent hexadecimal number.

0.25 × 16 = 4 + 0

Here is the answer to 0.25 decimal to hexadecimal number:

0.4

Therefore, decimal number 86.25 converted to hexadecimal is equal: 56.4

8 0
2 years ago
Read 2 more answers
(4m-2) (m2 + 5m - 6)please fast​
Masteriza [31]

Answer:

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Step-by-step explanation:

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3 years ago
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Shkiper50 [21]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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