This is an arithmetic sequence because there is a common difference between terms, a constant found when subtracting the preceding term from any term in the sequence. In this case the common difference is 7.
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial value, d=common difference, n=term number
Here we have a=44 and d=7 so
a(n)=44+7(n-1)
a(n)=44+7n-7
a(n)=7n+37, so the 39th term is:
a(37)=7(37)+7
a(37)=266
I am assuming that 44 is the first term, not the 5th term...if 44 was the fifth term let me know and I will edit to reflect that...
This is an arithmetic sequence because there is a common difference between terms, a constant found when subtracting the preceding term from any term in the sequence. In this case the common difference is 7.
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial value, d=common difference, n=term number
Here we have a=44 and d=7 so
a(n)=44+7(n-1)
a(n)=44+7n-7
a(n)=7n+37, so the 39th term is:
a(37)=7(37)+7
a(37)=266
I am assuming that 44 is the first term, not the 5th term...if 44 was the fifth term let me know and I will edit to reflect that...
Explanation: Because there is no addition or subtraction between 6x^3 and y^5, they are a part of ONE term so you don't multiply each of them separately.
