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The 10th term of the Arithmetic Progression 2, 7, 12, ... is :
Question

The 10th term of the Arithmetic Progression 2, 7, 12, ... is :

A.

27

B.

47

C.

37

D.

57

Correct option is B

Given:

An Arithmetic Progression (A.P.): 2, 7, 12,…

We are to find the 10th term.

Formula Used:

The nth term of an A.P. is given by:

an=a+(n1)da_n = a + (n - 1)d​​

Where:

a = first term

d = common difference

n = term number

Solution:

Now,

a = 2, d = 7 - 2 = 5

Applying the formula;

a10=2+9×5=2+45=47a_{10} = 2 + 9 \times 5 = 2 + 45 = 47​​

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