Answer:
a2 = 25/4
a3 = 29/5
a4 = 170/29
Step-by-step explanation:
From the information given,
a1 = 4
a(n + 1) = 5/an + 5
1) To find a2, we would substitute n = 1 into function. We have
a(1 + 1) = 5/a1 + 5
Substituting a1 = 4 into the formula, we have
a2 = 5/4 + 5
a2 = 25/4
2) To find a3, we would substitute n = 2 into function. We have
a(2 + 1) = 5/a2 + 5
Substituting a2 = 25/4 into the formula, we have
a3 = 5/(25/4) + 5
a3 = 5 x 4/25 + 5
a3 = 4/5 + 5
a3 = 29/5
4) To find a4, we would substitute n = 3 into function. We have
a(3 + 1) = 5/a3 + 5
Substituting a3 = 29/5 into the formula, we have
a4 = 5/(29/5) + 5
a4 = 5 x 5/29 + 5
a4 = 25/29 + 5
a4 = 170/29