Question

find the 11th term of an A.P. -27,-22,-17,-12,...

Answer 1

a= -27
d= -22+27 =5

a11= a+10d
= -27+10(5)
= -27+50
= 23

11th term of the A.P is 23

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Answer 2

The 11th term of an A.P.($a_{11}$) = 23

Step-by-step explanation:

The given AP are:

- 27, - 22, - 17, - 12, .........

Here, first term (a) = - 27, common difference (d) = - 22 - ( -27) = -22 + 27 = 5

and n = 11

To find, the 11th term of an A.P.($a_{11}$) = ?

We know that,

The nth term of an A.P.,

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

∴ The 11th term of an A.P.($a_{11}$)

= - 27 + (11 -1)5

= - 27 + (10)5

= - 27 + 50

= 23

∴ The 11th term of an A.P.($a_{11}$) = 23