What is the 30th term of the arithmetic series 3, 5, 7, …?

The nth term for the arithmetic sequence is given by:

       .....[1]

where,

is the first term.

d is the common difference.

n is the number of terms.

Given the sequence:

3, 5, 7, .......

This is an arithmetic sequence

First term () = 3

Common difference(d) = 2

Since,

5-3 = 2,

7-5 = 2 and so o....

We have to find the 30th term of the given sequence:

Substitute n = 30 and the given values in [1] we have;

Therefore, the  30th term of the given sequence is, 61

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convert the exponential equation to a logarithmic equation using the logarithm base (6) of the right side (36) equals the exponent (2).

ℓσg6(36)=2

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