If a1 = 1 and an+1 = 2an + 5, n = 1, 2 ... , then a100 is equal to
Explanation:
a1 = 1 = 6 – 5
a2 = 7 = 12 – 5 = 6 × 2 – 5
a3 = 19 = 24 – 5 = 6 × 22 – 5
a4 = 43 = 48 – 5 = 6 × 23 – 5
and so on.
Thus, a100 = 6 × 299 – 5
Hence, option (d).
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.