Question

Given the sequence U_1 = 12, U_n = U_(n-1) + 9 for n > 2, what is the value of U_23?

a) 12
b) 201
c) 192
d) 210

Answer 1

To find the value of U23, we can use the given sequence formula U1 = 12, Un = U(n-1) + 9 for n > 2. By applying this formula step by step, we find that U23 = 201.

Step-by-step explanation:

To find the value of U23, we can use the given sequence formula Un = U(n-1) + 9 for n > 2. We start with U1 = 12. By using the formula, we can calculate U2 = U1 + 9 = 12 + 9 = 21. Continuing this process, we can find U3, U4, U5, and so on, until we reach U23.

U2 = 21 + 9 = 30

U3 = 30 + 9 = 39

U4 = 39 + 9 = 48

U22 = 183 + 9 = 192

U23 = 192 + 9 = 201

Therefore, the value of U23 is 201, so the correct option is (b) 201.