Sn is the sum of the first n terms of a series given by Sn = n2n - 1. Find the nth term
Question 1 Report
Sn is the sum of the first n terms of a series given by Sn = n2n - 1. Find the nth term
Answer Details
The given series is:
1 + 3 + 5 + 7 + ... + (2n - 1)
Notice that each term in the series is an odd number, and the difference between consecutive terms is 2. To find the nth term, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
where a1 is the first term, d is the common difference, and n is the term number.
In this case, a1 = 1 and d = 2, so we have:
an = 1 + (n - 1)2
an = 2n - 1
Therefore, the answer is (D) 2n - 1.
Download The App On Google Playstore
Everything you need to excel in your exams
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning