How to find the formula for the nth term​

“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!!”

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