Respuesta :

The 17 th term of the Arithmetic Progression (AP) is found to be a₁₇ = 26.

What is the AP sequence for arithmetic progression?

In Arithmetic Progression (AP), the difference between the two numerical orders is a constant value. Arithmetic Sequence is another name for it.

We'd come across a few important words in AP, denoted as:

  • The first term (a)
  • Common difference (d)
  • Term nth (an)
  • The total of first n terms (Sn)

The AP may also be characterized in concepts of common distinctions, as shown below.

  • The following is the formula for determining an AP's n-th term: an = a + (n − 1) × d
  • The arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].
  • Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ......      = an - an-1.

Now, as per the given data in the question;

16th term; a₁₆ = 18

Common difference; d = 5

Then, the 17th term would be calculated as;

Use the common difference formula;

d = a₁₇ - a₁₆

a₁₇ = a₁₆ + d

a₁₇ = 21 + 5

a₁₇ = 26

Therefore, the value of the 17th term of a AP is found as 26.

To know more about the arithmetic progression, here

brainly.com/question/6561461

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