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what is the sum of all the terms in between 89 and 610 of a Fibonacci sequence​

Sagot :

Solution:

Given below are the first few terms of Fibonacci sequence:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, ...

The sum from 89 to 610 inclusive is:

[tex] \displaystyle 89 + 144 + 233 + 377 + 610 [/tex]

[tex] \displaystyle = \boxed{ 1453 } [/tex]

The sum from 89 to 610 exclusive is:

[tex] \displaystyle 144 + 233 + 377 [/tex]

[tex] \displaystyle = \boxed{ 754 } [/tex]