Answer:
The sum of the first 5 terms of the sequence 4, 20, 100, ... is 3124.
Step by Step explanation:
To find the sum of a geometric sequence with a common ratio of 5 and an initial term of 4, we can use the formula Sn = a1 * (1 - rn) / (1 - r).
For example, let's find the sum of the first 5 terms:
S5 = 4 * (1 - 5^5) / (1 - 5)
= 4 * (1 - 3125) / (1 - 5)
= 4 * (-3124) / (-4)
= 3124
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
Answer:
The sum of the first 5 terms of the sequence 4, 20, 100, ... is 3124.
Step by Step explanation:
To find the sum of a geometric sequence with a common ratio of 5 and an initial term of 4, we can use the formula Sn = a1 * (1 - rn) / (1 - r).
For example, let's find the sum of the first 5 terms:
S5 = 4 * (1 - 5^5) / (1 - 5)
= 4 * (1 - 3125) / (1 - 5)
= 4 * (-3124) / (-4)
= 3124