Question

In the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, .......... starting with the third terms, each term is the sum of the two preceding terms : $2=1+1,3=1+2,5=2+3$, and so on.
Choose the correct options -

• A. Eighth term in Fibonacci sequence is 21
• B. Tenth term in Fibonacci sequence is 55
• C. Twelfth term in Fibonacci sequence is 144
• D. Twelfth term in Fibonacci sequence is 112

Answer 1

Answer: (A), (B), (C)

The correct options are
A Eighth term in Fibonacci sequence is 21
B Tenth term in Fibonacci sequence is 55
C Twelfth term in Fibonacci sequence is 144

From the sequence give we can find general formula
$a_n=a_{n-2}+a_{n-1}$
$a_8=a_7+a_6=13+8=21$
$a_9=a_8+a_7=21+13=34$
$a_{10}=a_9+a_8=34+21=55$
$a_{11}=a_{10}+a_9=55+34=89$
$a_{12}=a_{10}+a_{11}=55+89=144$