what is the third term of a recursive sequence that follows the pattern 5x-3 and has a first term x =2?
The sequence is
2, 5(2)-3, 5(5(2)-3)-3, ...
or
2,7,32, . . .
To find the third term of a recursive sequence that follows the pattern 5x - 3, we need to apply the pattern to each term.
Given that the first term (x) is equal to 2, we can substitute this value into the pattern equation to find the second term:
Term 1: x = 2
Term 2: 5(2) - 3 = 10 - 3 = 7
Now, to find the third term, we need to apply the pattern equation again using the second term (7):
Term 3: 5(7) - 3 = 35 - 3 = 32
Therefore, the third term of the given recursive sequence is 32.