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How to find the formula for the nth term​

User Ys
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1 Answer

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“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!!”
User Oliver Atkinson
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