and:
Find the sum of the first 20 terms (n = 1) and 100 terms (n=21)
1) u1 = 3 * 1 = 3
u2 = 3 * 2 = 6
u3 = 3 * 3 = 9
2) The sum of the first k natural numbers is 1 + 2 + 3 + ... + k = k(k + 1)/2
The sum of the first 20 terms of the sequence is
3*1 + 3*2 + 3*3 + ... + 3*20 = 3*(1 + 2 + 3 + ... + 20) = 3 * 20 * 21 / 2 = 630
The sum of the first 100 terms of the sequence is
3*1 + 3*2 + 3*3 + ... + 3*100 = 3*(1 + 2 + 3 + ... + 100) = 3 * 100 * 101 / 2 = 5050
I don't fully understand the meaning of (n = 1) and (n = 21).
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
1) u1 = 3 * 1 = 3
u2 = 3 * 2 = 6
u3 = 3 * 3 = 9
2) The sum of the first k natural numbers is 1 + 2 + 3 + ... + k = k(k + 1)/2
The sum of the first 20 terms of the sequence is
3*1 + 3*2 + 3*3 + ... + 3*20 = 3*(1 + 2 + 3 + ... + 20) = 3 * 20 * 21 / 2 = 630
The sum of the first 100 terms of the sequence is
3*1 + 3*2 + 3*3 + ... + 3*100 = 3*(1 + 2 + 3 + ... + 100) = 3 * 100 * 101 / 2 = 5050
I don't fully understand the meaning of (n = 1) and (n = 21).