Question

find the 10th term in AP 5,1,-3-7

Answer 1

Heya !!!


here is your answer !!!


n term = a + ( n - 1 ) * d


here's a = 5

common difference => a2 - a1

=>. 1 -5 => -4


so. ,


10 th term => a + ( n -1 ) * d

=> 5 + ( 10 - 1 ) * -4


=> 5 - 36


=> -31


hope it helps you dear !!!


thanks !!

Answer 2

10th term of the AP 5 , 1 , - 3 , - 7 . . . . is

Given :

The arithmetic progression 5 , 1 , - 3 , - 7 . . . .

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 , 1 , - 3 , - 7 . . . .

Step 2 of 3 :

Write down first term and common difference

First term = a = 5

Common Difference = d = 1 - 5 = - 4

Step 3 of 3 :

Find 10th term of the AP

10th term of the AP

$\displaystyle \sf{ = t_{10} }$

$\displaystyle \sf{ = a + ( 10 - 1 )d }$

$\displaystyle \sf{ = a + 9d }$

$\displaystyle \sf{ = 5 + \{9 \times ( - 4) \} }$

$\displaystyle \sf{ = 5 - 36 }$

$\displaystyle \sf{ = - 31 }$

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