Question

Identify a pattern in this list of numbers. Then use this pattern to find the next number.​ (More than one pattern might​ exist, so it is possible that there is more than one correct​ answer.) 3​, 5​, 9​, 15​, 23​, 33​, ​_____

Answer 1

The pattern in the series of numbers is that the difference between consecutive numbers increases by 2. Following this pattern, the next number after 33 would be 45.

Step-by-step explanation:

The student has asked to identify a pattern in a list of numbers and use it to find the next number. Looking at the series 3, 5, 9, 15, 23, 33, we can see that the difference between consecutive numbers is increasing by 2 each time: 5 - 3 = 2, 9 - 5 = 4, 15 - 9 = 6, 23 - 15 = 8, and 33 - 23 = 10. Following this pattern, the next difference would be 12, so to find the next number, we would add 12 to the last number in the series: 33 + 12 = 45. Therefore, the next number in the series would be 45.

Answer 2

a) 45

The sequence 3 , 5, 9 , 15 , 23 , 33 , 45

Step-by-step explanation:

Given The sequence 3 , 5, 9 , 15 , 23 , 33

First term = 3

Add 2 of first term

Second term = 3 +2 = 5

Add 4 of second term

Third term = 5 + 4 = 9

Add 6 of Third term

Fourth term = 9 + 6 = 15

Add 8 of fourth term

fifth term = 15 + 8 = 23

Add 10 of fifth term

sixth term = 23 + 10 = 33

Add 12 of sixth term

seventh term = 33 +12 = 45

Final answer:-

Now the sequence 3​, 5​, 9​, 15​, 23​, 33​, ​__45___