Question

In: Math

The third term of an arithmetic progression is 25 and the tenth term is -3. Find the first term and the common difference?

The third term of an arithmetic progression is 25 and the tenth term is -3. Find the first term and the common difference?

Solutions

Expert Solution

Sol. 

We have to find the first term a, and the common difference, d from the given information (i.e. third term T3= 25 and T10 = -3). 

To determine first term a, and the common difference, d from the given information we proceed as follows:

So, from the above calculations:

the first term a, = 33 and

the common difference, d = - 4


The first term a, = 33 and the common difference, d = - 4

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