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Row 1 1 row2 3 5 row 3 7 9 11 row 4 13 15 17 row 5 21 23 25 27 29 Find the middle number in the 99th row What is the sum of the numbers in the 30th row?
First, you didn't enter the numbers correctly...
Row 1: 1
Row 2: 3, 5
Row 3: 7, 9, 11
Row 4: 13, 15, 17, 19 (you were missing the 19)
Row 5: 21, 23, 25, 27, 29
To get an idea of the answer to the first question, continue the pattern a couple more rows, focusing on the middle number(s)...
Row 1: 1
Row 2: 3, 5
Row 3: 7, 9, 11
Row 4: 13, 15, 17, 19
Row 5: 21, 23, 25, 27, 29
Row 6: 31, 33, 35, 37, 39, 41
Row 7: 43, 45, 47, 49, 51, 53, 55
If you've studied median, you know it's the middle number when the data is arranged in order, and that if there are two "middle" numbers, the median is the mean of the two numbers (i.e. median of row 4 is (15 + 17)/2 = 16).
Median of
Row 1 is 1
Row 2 is 4
Row 3 is 9
Row 4 is 16
Row 5 is 25
Row 6 is 36
Row 7 is 49
The median of each row is the square of the row number (i.e. row 6... 6^2 = 6*6 = 36)
So you can infer that the median (middle number) in the 99th row would be 99 squared, which is 9801.
For the second part of the question, examine the sums of the numbers in each row...
Row 1: 1 Sum = 1
Row 2: 3, 5 Sum = 8
Row 3: 7, 9, 11 Sum = 27
Row 4: 13, 15, 17, 19 Sum = 64
Row 5: 21, 23, 25, 27, 29 Sum = 125
The pattern to recognize here is that the sum of the numbers in each row is the cube of the row number (i.e. Row 3... 3^3 = 3*3*3 = 27)
So you can infer that the sum of the numbers in the 30th row is 30 cubed, which is 27,000.
What else can I help you with?
How do you find the 99th number in the sequence 1 4 9 16 25?
The sequence is just each number is the square of 1 to 5 1 squared is 1 2squared is 4 3squared is 9 ect so the 99th number will be 99 squared which is 9801
How do you find the 99th term in a sequence?
The formula used to find the 99th term in a sequence is a^n = a^1 + (n-1)d. a^1 is the first term, n is the term number we wish to find, and d is the common difference. In order to find d, the pattern in the sequence must be determined. If the sequence begins 1,4,7,10..., then d=3 because there is a difference of 3 between each number. d can be quite simple or more complicated as it can be a function or formula in of itself. However, in the example, a^1=1, n=99, and d=3. The formula then reads a^99 = 1 + (99-1)3. Therefore, a^99 = 295.
What is the 99th prime number?
523 is the 99th prime number.
Is there a method to find the 99th triangle number?
Oh, dude, finding the 99th triangle number is like, totally easy. You just use the formula n(n+1)/2, where n is the number of the triangle you want. So, for the 99th triangle number, you plug in 99 for n, do some quick math, and boom, you've got it!
What number is one hundred divisors?
Any prime number to the 99th power has one hundred divisors.
Who was the 99th mayor?
Fiorello Henry LaGuardia was the 99th mayor.
How do you find the 99th number in the sequence 1 4 9 16 25?
The sequence is just each number is the square of 1 to 5 1 squared is 1 2squared is 4 3squared is 9 ect so the 99th number will be 99 squared which is 9801
What is the 99th Pokemon?
Gengar i think Ceffa is the 99th Pokemon in the sinnoh dex and kingler is the 99th in the national dex pickles are awesome
What is the 99th odd number?
197. the formula is 2n-1
What is the zip code for 169 East 99th Street in Manhattan?
The zip code for all of East 99th Street is 10029.
How can you feel 100?
after your 99th birthday.
What percentile is an IQ of 152 in?
99th.
What is the formula for the sum of first hundred odd numbers?
This is the way I would do it: The sum of the 1st & 100th numbers = the sum of the 2nd & 99th numbers = the sum of the 3rd & 98th numbers all the way to the sum of the 50th & 51st numbers; each of the sums equals 200. So I would multiply 200 by 50 (10000).
What was the 99th pursuit squadron known as?
eagles
