To determine whether the given sequence is arithmetic progression or not: 3,\ 9,\ 15,\ 21,\ 27,\ \cdots Select the correct answer below.

Dottie Parra

Dottie Parra

Answered question

2021-07-29

To determine whether the given sequence is arithmetic progression or not:
3, 9, 15, 21, 27, 
Select the correct answer below: NKS a) The sequence is arithmetic with d=5
b) The sequence is arithmetic with d=6
c) The sequence is arithmetic with d=7
d) The sequence is arithmetic with d=9

Answer & Explanation

Mitchel Aguirre

Mitchel Aguirre

Skilled2021-07-30Added 94 answers

Step 1
a2a1=93=6
a3a2=159=6
a4a3=2115=6
a5a4=2721=6
Step 2
We can observe that the difference between successive terms is always constant. This is the common diference (d) of the AP.
Therefore, the given sequence is arithmetic progression with d=6.
The answer: (b)
Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-05Added 2605 answers

Answer is given below (on video)

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