Find the six terms of a finite sequence where a_1=-6.25 and r=1.25

elynnea4xl

elynnea4xl

Answered question

2023-02-18

Find the six terms of a finite sequence where a 1 = 6.25 and r = 1.25

Answer & Explanation

Talon Mcfarland

Talon Mcfarland

Beginner2023-02-19Added 9 answers

The first of the sequence is -6.25.
The second term of the sequence is -7.81.
The third term of the sequence is -9.81.
The fourth term of the sequence is -12.20.
The fifth term of the sequence is -15.25.
The sixth term of the sequence is -19.07.
We have to determine, the six terms of a finite sequence and graph these terms.
According to the question, The first term of the sequence -6.25. and the common ratio is =1.25
The six terms of finite sequence would be as per the following equation is determined by the formula, f(x)=a1×rn-1
1. The first of the sequence is -6.25.
2. The second term of the sequence is,
a2=(-6.25)×(1.25)(2-1)a2=(-6.25)×(1.25)a2=-7.81
The second term of the sequence is-7.81.
3. The third term of the sequence is,
a3=(-6.25)×(1.25)(3-1)a3=(-6.25)×(1.25)2a3=(-6.25)×1.56a3=-9.81
The third term of the sequence is-9.81.
4. The fourth term of the sequence is,
a4=(-6.25)×(1.25)(4-1)a4=(-6.25)×(1.25)3a4=(-6.25)×1.95a4=-12.20
The fourth term of the sequence is-12.20.
5. The fifth term of the sequence is,
a5=(-6.25)×(1.25)(5-1)a5=(-6.25)×(1.25)4a5=(-6.25)×2.44a5=-15.25
The fifth term of the sequence is -15.25.
6. The sixth term of the sequence is,
a6=(-6.25)×(1.25)(6-1)a6=(-6.25)×(1.25)5a6=(-6.25)×3.05a6=-19.07
The sixth term of the sequence is -19.07.

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