F 25 = 75,025 and F 26 = 121,393 where Fn is the nth term in the Fibonacci sequence. Find F27.
Each term of the Fibonacci sequence is obtained by adding the two previous terms.
For example, in the initial sequence,
1,1,2,3,5,8,13....75025,121393,....
F1=1
F2=1
F3=F1+F2=1+1=2
F4=F2+F3=1+2=3
F5=F3+F4=2+3=5
...
F23=28657
F24=46368
F25=F23+F24=28657+46468=75025
F26=F24+F25=46368+75025=121393
F27=?
To find the value of F27 in the Fibonacci sequence, we can use the relationship that each term is the sum of the two preceding terms.
Given that F25 = 75,025 and F26 = 121,393, we will use these values to calculate F27.
Step 1: Add F25 and F26 together.
F25 + F26 = 75,025 + 121,393 = 196,418
Therefore, F27 (the 27th term in the Fibonacci sequence) is equal to 196,418.
To find the 27th term, F27, in the Fibonacci sequence, we can use the given values of F25 and F26. The Fibonacci sequence follows a recursive formula where each term is the sum of the previous two terms.
Given that F25 = 75,025 and F26 = 121,393, we need to find F27.
To obtain F27, we can sum F25 and F26 since the 27th term is the sum of the previous two terms:
F27 = F26 + F25
Substituting the given values:
F27 = 121,393 + 75,025
Calculating:
F27 = 196,418
Therefore, F27 is equal to 196,418.