Given the indicated terms of an arithmetic sequence a3=1, a33=22 find the first term

The first term is a = 0.4.

Step-by-step explanation:

We are given the indicated terms of an arithmetic sequence; = 1, = 22.

As we know that the nth term of the A.P. is given by;

where, a = first term and d = common difference

Now, the third term of AP is given as 1, this means;

a = 1 - 2d  --------------- [equation 1}

Also, the 33rd term of AP is given as 22, this means;

    {using equation 1}

d = 0.7

Putting the value of d in equation 1 we get;

a = 1 - 1.4 = -0.4

Hence, the first term of an AP is -0.4.

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step-by-step explanation:

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