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Which Term of the A.P. 3, 8, 13, ... is 248? - CBSE Class 10 - Mathematics

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Question

Which term of the A.P. 3, 8, 13, ... is 248?

Solution

Here, A.P is  3, 8, 13,....

`a_n = 248`

a = 3

Now

Common difference (d) = `a_1 - a`

= 8 - 3

= 5

Thus, using the above mentioned formula

`a_n = a + (n - 1)d`

248 = 3 + (n - 1)5

248 - 3 = 5n - 5

245 + 5 = 5n

`n = 250/5`

Thus n = 50

Therefore 248 is the 50th term of the given A.P

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Solution Which Term of the A.P. 3, 8, 13, ... is 248? Concept: nth Term of an AP.
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