Question

In an A.P. if the common difference ‘d’ = 2.5 and the first term ‘a’=2 then the 11th term is ​

Answer 1

Question:-

In an A.P if the common difference d = 2.5 and the first term ' a ' = 2 then the 11th term is

Solution:-

Given,

• The common difference of AP is 2.5 and the first term is 2.
• Then find the 11th term of A.P

a = 2 ; d = 2.5 ; Find 11th term of A.P

➣ tn = a + (n - 1)d

➣ t 11 = 2 + (11 - 1) 2.5

➣ t 11 = 2 + 10(2.5)

➣ t 11 = 2 + 25

➣ t 11 = 27

∴ The 11th term of A.P is 27

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Extra Information:-

Arthmetic Progressions:-

• A sequence is called A.P if the difference between consecutive term is constant.

Common difference:-

Example:-

Q. Find the common difference of a , a + d , a + 2d , a + 3d ........ a + nd.

A. ⇒a + d - a = d

⇒a + 2d - (a + d) = a + 2d - a - d => d