In the given series we have been asked to find the first term, common difference and the next term
I) 9,15,21,27,......
II) 11, 6, 1, -4, ….
III) -1, -5/6, -2/3, -1/2,….
IV) √2, √8, √18, √32,….
V) √20, √45, √80, √125,….
Book- RS Aggarwal
Arithmetic Progression, chapter-5A, question no. 1
i) Given progression is 9,15,21,27,.....
Here, 15−9=21−15=27−21=6 (which is constant)
As common difference is same the given progression is an AP.
Here first term is 9.
Common difference is 6 or d=6
Next term =27+d=27+6=33