It is increasing by 4 and the nth term is 4n+1
3, 13, 17, 23 are prime numbers. The others are not.
Mode is the most frequent. Sorting to make it easier to see the frequency of the numbers: {13, 16, 17, 21, 25, 25, 30} - 25 appears twice and every other number once. Thus: mode of the numbers is 25.
Assuming the pattern would continue: 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13...
Arithmetic
11, 13, 15, 17, 19, 21, 23
You have to find a pattern in the numbers, and exclude the one that messes up the pattern.
3, 13, 17, 23 are prime numbers. The others are not.
Mode is the most frequent. Sorting to make it easier to see the frequency of the numbers: {13, 16, 17, 21, 25, 25, 30} - 25 appears twice and every other number once. Thus: mode of the numbers is 25.
5, 13 and 17 are prime.
Assuming the pattern would continue: 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13...
Arithmetic
13/15 = 65/75 21/25 = 63/75 13/15 is bigger.
11, 13, 15, 17, 19, 21, 23
They are all prime numbers except for 15 21 25 and 27 which are composite numbers
25 + 16 - 13 - 21 = 7
Mean is the average of all the numbers.Sum of all the listed numbers = 584Total of all the listed numbers = 25584 / 25 = 23.36Mean = 23.36
13 10 17 15 21 13 - 10 = -3 10 - 17 = +7 17 - 15 = -2 15 - 21 = +6 The negative numbers alternate with the positive numbers The negative numbers are augmented by +1 each step The positive numbers are diminished by -1 each sterp So the next step from 21 is a negative and should be -2 increased by +1 to -1 giving a new value of 20 Then the next step is a positive and should be +6 decreased by -1 to +5 giving 25 13 - 10 = -3 10 - 17 = +7 17 - 15 = -2 15 - 21 = +6 21 - 20 = -1 20 - 25 = +5