i really need help solving these problems since the teacher just told us to complete them without explaining anything:

#13. george, jhon, thomas, james, ____, ____
#14. martha, abigail, martha, dolley, ____, ____
#15. george, thomas, abe, alexander,_____,____
#34. 2,6,7,22,66,67,___,___
#36. o,1/2,3/4,7/8,15,16,___,___
#37. m,v,e,m,___,___

# 13 is the first names of the first four presidents.

# 14 is their wives.

# 15 -- look at our paper money

thanks a lot i really appreciate it:D

but i still need help with the rest.

Let's go through each problem one by one and analyze the patterns to find the missing elements.

#13. george, jhon, thomas, james, ____, ____
To find the missing elements here, we need to look for a pattern among the given names. One possible pattern could be alternating between first names and last names. Following this pattern, the missing elements could be George (last name) and John (first name).

#14. martha, abigail, martha, dolley, ____, ____
Again, we need to find a pattern among the given names. Here, we notice that the names are in alphabetical order. Following this pattern, the missing elements could be Eleanor and Frances.

#15. george, thomas, abe, alexander, ____, ____
Looking at the given names, we see that they are all common first names of U.S. presidents. Following this pattern, the missing elements could be Andrew and James.

#34. 2, 6, 7, 22, 66, 67, ____, ____
Analyzing the given numbers, we can see that each number after the first is obtained by multiplying the previous number by a certain factor and then adding a constant value. In this case, the factor seems to be 3, and the constant value seems to be 1. Following this pattern, the missing elements could be 202 and 203.

#36. o, 1/2, 3/4, 7/8, 15, 16, ____, ____
Here, the pattern appears to be a series of numbers where each subsequent number is obtained by increasing the numerator by a power of 2 and doubling the denominator. Following this pattern, the missing elements could be 31/32 and 63/64.

#37. m, v, e, m, ____, ____
To find the missing elements in this sequence of letters, we need to identify the pattern. Here, it seems that the letters spell out the word "move" by skipping one letter in between. Following this pattern, the missing elements could be o and v.

Remember, these are just potential solutions based on the given patterns. It's always a good idea to double-check and ensure that the identified patterns accurately represent the sequence.