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 . &nbsp502 B . &nbsp401 C . &nbsp610 D . &nbspcannot 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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