There is a sequence of numbers a1, a2, ... where a1 = 2, a2 = 3, and an =
for n ≥ 3. What is the value of a756
- All Questions
Step by Step Explanation:
- A series of number is given. Where a1 = 2 a2 = 3 and an = for n ≥ 3.
- On relating the sequence, a1 = 2
a2 = 3
a3 = =
a4 = =
a5 = =
a6 = =
a7 = = 2
a8 = = 3
and so on....
- Therefore, we will get a sequence which repeat after every sixth term,
i.e. a1 = 2, a2 = 3, a3 = , a4 = , a5 = , a6 = , a7 = 2, a8 = 3 ....
- As we have to find out a756. On dividing 756 by 6 which leaves a remainder of 0. So this term is equivalent to 6th term i.e. a6.
- Thus, a756 = a6 = .