Math

QuestionFind the next five Fibonacci terms after 144,233,377,610144, 233, 377, 610 and the 14th14^{\text{th}} term if F8=21F_8 = 21 and F9=34F_9 = 34.

Studdy Solution

STEP 1

Question: What is the Fibonacci sequence formula?
A) Fn=Fn1Fn2F_n = F_{n-1} - F_{n-2} B) Fn=Fn1×Fn2F_n = F_{n-1} \times F_{n-2} C) Fn=Fn1+Fn2F_n = F_{n-1} + F_{n-2} D) Fn=Fn1÷Fn2F_n = F_{n-1} \div F_{n-2}
Answer: C) Fn=Fn1+Fn2F_n = F_{n-1} + F_{n-2}

STEP 2

Question: Using the Fibonacci sequence formula, what is the next term after 144,233,377,610144,233,377,610 ?
A) 1007 B) 987 C) 1597 D) 2584
Answer: B) 987

STEP 3

Question: What are the next two terms after 144,233,377,610,987144,233,377,610,987 in the Fibonacci sequence?
A) 1597, 2584 B) 2000, 3500 C) 1800, 2800 D) 1500, 2500
Answer: A) 1597, 2584

STEP 4

Question: Given the 8th 8^{\text {th }} and 9th 9^{\text {th }} term of the Fibonacci sequence is 21 and 34 respectively, what is the 10th 10^{\text {th }} term?
A) 44 B) 55 C) 56 D) 45
Answer: B) 55

STEP 5

Question: What is the 14th 14^{\text {th }} term of the Fibonacci sequence given that the 8th 8^{\text {th }} and 9th 9^{\text {th }} terms are 21 and 34 respectively?
A) 233 B) 377 C) 144 D) 610
Answer: B) 377

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