Consider the Arithmetic Progression: 3, 8, 13, 18, ...... What is the 18th term of the given Arithmetic Progression.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 88
To find the 18th term of an Arithmetic Progression (AP), we use the general formula for the nth term:
$a_n=a+(n−1)d$
1. Identify the given values
From the progression 3, 8, 13, 18, ......:
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First term (a): 3
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Common difference (d): 8−3=5
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Term to find (n): 18
2. Substitute into the formula
$a_{18}=3+(18−1)×5$
$a_{18}=3+(17×5)$
$a_{18}=3+85$
$a_{18}=88$