If an A.P is given by 7 , 12 , 17 , 22, then nth term is

Foundation

Mathematics Foundation

Data Redundancy Subtopic

Question

If an A.P is given by

7, 12, 17, 22

, then

n

th term is

2 n + 5

4 n + 3

5 n + 2

3 n + 4

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Given AP:

7, 12, 17, 22.....

Here first term

a = 7

and common difference

d = 12 - 7 = 5

Since,

a_{n} = a + (n - 1) d

\Rightarrow a_{n} = 7 + (n - 1) 5

\Rightarrow a_{n} = 5 n + 2

n

th term is

5 n + 2

∴

Option C is correct.

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