Question

The 5th term of arithmetic progression 10, 7, 4, ….. is _________. *​

Answer 1

Answer:

a = 10

d = -3

n = 5

a5 = 10+(5-1)(-3)

a5 = 10-12

a5 = -2

Answer 2

5th term of the arithmetic progression 10 , 7 , 4 . . . . is - 2

Given :

The arithmetic progression 10 , 7 , 4 . . . .

To find :

5th term of the arithmetic progression

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

10 , 7 , 4 . . . .

Step 2 of 3 :

Write down first term and common difference

First term = a = 10

Common Difference = d = 7 - 10 = - 3

Step 3 of 3 :

Find 5th term of the AP

5th term of the arithmetic progression

$\displaystyle \sf{ = t_{5} }$

$\displaystyle \sf{ = a + ( 5 - 1 )d }$

$\displaystyle \sf{ = a + 4d }$

$\displaystyle \sf{ = 10 + \{4 \times ( - 3) \} }$

$\displaystyle \sf{ = 10 - 12 }$

$\displaystyle \sf{ = - 2 }$

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