Question

Consider the sequence:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ..., ..., ..., ..., .

The next four members of sequence are:

1. 55, 89, 144 and 233
2. 45, 79, 134 and 223
3. 65, 99, 154 and 243
4. 54, 89, 144 and 232

Answer 1

Correct Answer - Option 1 : 55, 89, 144 and 233

Given:

Sequence = 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ..., ..., ..., ..., .

Concept Used:

For a sequence, a, b, c ,d 

c = a + b

d = b + c

Calculations:

Considering the given sequence,

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ..., ..., ..., ..., .

Let the four terms be a, b, c and d respectively.

Now, a = 21 + 34 

⇒ a = 55

Similarly, b = 34 + a 

⇒ b = 34 + 55 = 89

Similarly, c = a + b

⇒ c = 55 + 89 = 144

Similarly, d = b + c

⇒ d = 89 + 144 = 233

a = 55, b = 89, c = 144, d = 233

∴ The next four members of sequence are 55, 89, 144 and 233 respectively.