Question

find the nth term 11,21,31,41

Answer 1

Step-by-step explanation:

a=11

d=10

an=11+10n-10

=10n+1

Answer 2

The nth term of the given AP is equal to 10n + 1.

Step-by-step explanation:

The given series:

11, 21, 31, 41, ......

Here, first term (a) = 11, common difference(d) = 21 - 11 = 10 and

The number of terms = n

To find, nth term of the given AP = ?

We know that,

The nth term of the AP

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

= 11 + (n - 1)10

= 11 + 10n - 10

= 10n + 1

∴ The nth term of the given AP = 10n + 1

Thus, the nth term of the given AP is equal to 10n + 1.