“The nth term of the following types of sequences can be found out using the following Formulas:
1.Arithmetic Progression(AP) : here, the consecutive terms differ by a common difference (d).
tn= a+(n-1)d
Where,
a= is the first term of the sequence,
n= nth term
d= common difference
2. Geometric Progression(GP):
Here, the consequtive terms differ by a common ratio (r).
Tn= ar^(n-1)
where,
a = first term
r = common ratio
tn= nth term
3.Harmonic Progression (H.P):
It is the reciprocal of AP.
To find nth term of a HP, first convert it into AP and then apply the tn formula for the sequence and take the reciprocal of the obtained tn again.
Hope the answer helps you!!”