Given the recursive formula for the geometric sequence a_{1} = 5; a n = 2 5 a n-1 find the second term of the sequence. point) a_{2} = 2; a_{2} = 5 2/5; a_{2} = 8/5; a_{2} = 2/5
The second term of the sequence, a2, can be found by using the recursive formula:
an = 2 * 5an-1
Given that a1 = 5, we can substitute this into the formula and solve for a2:
a2 = 2 * 5a2-1
Since a2-1 refers to the first term in the sequence (a1 = 5), we can substitute this value:
a2 = 2 * 5a1
a2 = 2 * 5(5)
a2 = 2 * 25
a2 = 50
Therefore, the second term of the sequence is 50.