Question

Find the 10th term of the AP: 5, 8, 11, 14,...

Answer 1

Answer:

10th term=32

Step-by-step explanation:

AP:5,8,11,14,...

a=5, d=8-5=3, n=10

An=a+(n-1)d

A10=5+(10-1)3

A10=5+(9)3

A10=5+27

A10=32

Therefore, the 10th term is 32.

Answer 2

10th term of the AP = 32

Given :

The arithmetic progression 5 , 8 , 11 , 14 , . . .

To find :

10th term of the AP

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

Solution :

Step 1 of 3 :

Write down the given progression

Here the given arithmetic progression is

5 , 8 , 11 , 14 , . . .

Step 2 of 3 :

Write down first term and common difference

First term = a = 5

Common Difference = d = 8 - 5 = 3

Step 3 of 3 :

Find 10th term of the AP

10th term of the AP

$\sf = a_{10}$

= a + ( 10 - 1 )d

= a + 9d

= 5 + [ 9 × 3 ]

= 5 + 27

= 32

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