In the finite sequence of positive integers K1, K2, K3, . . . , K9, each term after the second is the sum of the two terms immediately preceding it. If K5 = 18, what is the value of K9 ?
(1) K4 = 11
(2) K6 = 29
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
找规律: 从k3~K5 可以发现kn=(n-2)k2+(n-3)k1
K9=K7+K8=K5+K6+K6+K7=k5+K6+K6+K5+K6=2K5+3K6, K5已知,给K6能求K9, (2)正确;
又K6=K4+K5, K5已知,给K4能求K6,也就能求K9, (1)也正确