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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:

Solution

✅ Correct Option: 2

The sequence is: 3, 8, 13, 18, ...

The common difference can be found by:

8 - 3 = 5

13 - 8 = 5

18 - 13 = 5

The common difference d=5d = 5


From the given arithmetic progression:

First term a=3a = 3

Common difference d=5d = 5

Term number n=18n = 18


The nth term formula for an arithmetic progression is:

an=a+(n−1)×da_n = a + (n - 1) \times d


Substituting the values:

a18=3+(18−1)×5a_{18} = 3 + (18 - 1) \times 5

a18=3+17×5a_{18} = 3 + 17 \times 5

a18=3+85a_{18} = 3 + 85

a18=88a_{18} = 88

Therefore, the 18th term of the arithmetic progression is 88.

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