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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