Question

Find the 10th term of the Fibonacci sequence​

Answer 1

Answer:

The 10th term is 34.

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377 and so on.

Answer 2

Given data: The Fibonacci sequence.

To Find: The 10th term of the Fibonacci sequence.

Solution:

The formula to find Fibonacci sequence is, $F_{n}=F_{n-1}+F_{n-2}$

To find the first term, substitute $n=0$, $F_{0}=0$

To find second term, substitute $n=1,F_{1}=1$

Third term, $n=2,F_{2}=F_{2-1}+F_{2-2}=F_{1}+F_{0}=1$

Fourth terms,$n=3,F_{3}=F_{3-1}+F_{3-2}=F_{2}+F_{1}=1+1=2$

Fifth term, $n=4,F_{4}=F_{4-1}+F_{4-2}=F_{3}+F_{2}=2+1=3$

Sixth term,$n=5,F_{5}=F_{5-1}+F_{5-2}=F_{4}+F_{3}=3+2=5$

Seventh term,$n=6,F_{6}=F_{6-1}+F_{6-2}=F_{5}+F_{4}=5+3=8$

Eight term,$n=7,F_{7}=F_{7-1}+F_{7-2}=F_{6}+F_{5}=8+5=13$

Ninth term,$n=8,F_{8}=F_{8-1}+F_{8-2}=F_{7}+F_{6}=13+8=21$

Tenth term,$n=9,F_{9}=F_{9-1}+F_{9-2}=F_{8}+F_{7}=21+13=34$

Therefore, the 10th term of the Fibonacci sequence is 34.