If the 12 t h term is 144 and the 14 t h term is 377. What is the 15 t h term? Options: A . &nbsp 502 B . &nbsp 401 C . &nbsp 610 D . &nbsp cannot be determined

If the 12th term is 144 and the 14th term is 377. What is the 15th term?

Question

If the $12^{t h}$ term is 144 and the $14^{t h}$ term is 377. What is the $15^{t h}$ term?

Options:

A . 502

B . 401

C . 610

D . cannot be determined

Answer: Option C
:
C

option (c)

$T_{n + 1} = T_{n - 1} + T_{n} . 12^{t h}$ term $= 144$

$14^{t h}$ term $= 12^{t h}$ term $+ 13^{t h}$ term

$144 + 13^{t h}$ term $= 377$

$13^{t h} = 233$

$15^{t h}$ term $= 13^{t h}$ term $+ 14^{t h}$ term $= 233 + 377 = 610$

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