Question

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

• A. 502
• B. 401
• C. 610
• D. cannot be determined

Answer 1

The correct option is C 610

option (c)

$T_{n+1}=T_{n-1}+T_n.{12}^{th}$ term$=144$

${14}^{th}$ term $={12}^{th}$ term $+{13}^{th}$ term

$144+{13}^{th}$ term$=377$

${13}^{th}=233$

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