If general term of an AP is given by 2 + 4n then find its common difference.

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Solution

The correct option is B
4

Given, n $^{t h}$ term of an AP $(T_{n}) = 2 + 4 n$
$∴ T_{1} = 2 + 4 (1) = 6$
$T_{2} = 2 + 4 (2) = 10$
$\Rightarrow d = T_{2} - T_{1} = 10 - 6 = 4$

Alternate method:
The general term is represented by $T_{n} = a + (n - 1) d$ .
The coefficient of 'n' in the expression of the general term of an AP is the common difference of the AP.
$T_{n} = (a - d) + n d$ .
Comparing with $2 + 4 n$
We get the common difference, d = 4.

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