In a "Fibonacci" sequence of numbers, each term beginning with the third, is the sum of the previous two terms. The first number in such a sequence is 2 and the third is 9. What is the eighth term in the sequence?

Question

Ayaan Mayer

Mathematics

20 August, 17:01

In a "Fibonacci" sequence of numbers, each term beginning with the third, is the sum of the previous two terms. The first number in such a sequence is 2 and the third is 9. What is the eighth term in the sequence?

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Answers (1)

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Ryan Barron · Answer 1

8th term=107

Step-by-step explanation:

Here the sequence is following the 'fibonacci's sequence of numbers ...

i. e, Tn=T (n-1) + T (n-2), where n>2 but this sequence is not fibonnaci's number, it's not starting with 0, 1,1,2 ...

so you cannot apply formula to calculate, you have to find 8th term by simple calculation ...

Like here 3rd term is 9 and 1st term is 2

now 3rd term = 2nd term+1st term (sum of previous two terms)

i. e, 9 = 2nd term + 2

i. e, 2nd term = 7

now, 4th term = 3rd + 2nd

= 9+7=16

again, 5th term = 4th + 3rd

=16+9=25

again, 6th term = 5th+4th

=25+16=41

again, 7th term=6th+5th

=41+25=66

again, 8th term=7th+6th

=66+41=107