Given the arithmetic sequence a1,a2,a3,a4 53, 62, 71, 80 what is the value of a38?

Step-by-step explanation:

The 5th term of the arithmetic sequence is 53. We can write the equation:

The 6th term of the arithmetic sequence is 62. We can write the equation:

Subtract the first equation from the second one to get:

The first term is

The 38th term of the sequence is given by:

Step-by-step explanation:

We have been given an arithmetic sequence gas as :53,62,71,80. We are asked to find .

We know that an arithmetic sequence is in format , where,

= nth term,

= 1st term of sequence,

n = Number of terms,

d = Common difference.

We have been given that 1st term of our given sequence is 53.

Now, we will find d by subtracting 71 from 80 as:

Therefore, .

the answer is c

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