Sign in
Please select an account to continue using cracku.in
↓ →
Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
A sequence $$\{a_n\}$$ is generated by the rule, $$a_n = a_{n-1} - a_{n-2}$$ for $$n \geq 3$$. Given $$a_1 = 2$$ and $$a_2 = 4$$, then sum of the first 2019 terms of the sequence is given by
Computing terms shows the sequence is periodic with period 6, and the sum of any full period is 0. Since $$2019 = 6 \times 336 + 3$$, the total sum equals the sum of the first 3 terms, $$2+4+2=8$$.
Predict your JEE Main percentile, rank & performance in seconds
Educational materials for JEE preparation