Question

Find 10th term of the A . P. 1 , 4 , 7 , 10 , .......​

Answer 1

Step-by-step explanation:

$a_{10} = 1 + 9 \times 3 = 28$

Answer 2

Answer :

10th term , a(10) = 28 .

Note :

★ A.P. (Arithmetic Progression) : A sequence in which the difference between the consecutive terms are equal is said to be in A.P.

★ If a1 , a2 , a3 , . . . , an are in AP , then

a2 - a1 = a3 - a2 = a4 - a3 = . . .

★ The common difference of an AP is given by ; d = a(n) - a(n-1) .

★ The nth term of an AP is given by ;

a(n) = a1 + (n - 1)d .

Solution :

• Given AP : 1 , 4 , 7 , 10 , . . .
• To find : a(10) = ?

Here ,

First term , a = 1

Also ,

The common difference d will be ;

→ d = a(2) - a(1)

→ d = 4 - 1

→ d = 3

Now ,

We know that , the nth term of an AP is given by , a(n) = a + (n - 1)d

Thus ,

The 10th term of the AP will be given as ;

=> a(10) = a + (10 - 1)d

=> a(10) = a + 9d

=> a(10) = 1 + 9×3

=> a(10) = 1 + 27

=> a(10) = 28

Hence ,

10th term , a(10) = 28 .