Write the first six terms of the arithmetic sequence: a_{n}=a_{n-1}-20,

vetrila10

vetrila10

Answered question

2021-12-02

Write the first six terms of the arithmetic sequence: an=an−1−20,a1=50

Answer & Explanation

Huses1969

Huses1969

Beginner2021-12-03Added 18 answers

Step 1: To determine 
Given : 
an=an−1−20 & a1=50 
To determine : 
First six trems of the arithmetic sequence. 
Step 2:Calculation 
Since, an=an−1−20 a1=50 
Plugging n=2∈an=an−1−20, we get, 
a2=a2−1−20 
⇒a2=a1−20 
⇒a2=50−20 
⇒a2=30 
Now, Plugging n=3∈an=an−1−20, we 
a3=a3−1−20 
⇒a3=a2−20 
⇒a3=30−20 
⇒a3=10 
Now, Plugging n=4∈an=an−1−20, we 
a4=a4−1−20 
⇒a4=a3−20 
⇒a4=10−20 
⇒a4=−10 
Now, Plugging n=5∈an=an−1−20, we 
a5=a5−1−20 
⇒a5=a4−20 
⇒a5=−10−20 
⇒a5=−30 
Now, Plugging n=6∈an=an−1−20, we 
a6=a6−1−20 
⇒a6=a5−20 
⇒a6=−30−20 
⇒a6=−50 
Hence, the first six terms are 50, 30, 10, -

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