Math, asked by sony983247, 7 months ago

ಒಂದು ಸಮಾಂತರ ಶ್ರೇಢಿಯ 4ನೇ ಮತ್ತು 8ನೇ ಪದಗಳು ಮೊತ್ತ 24. 6ನೇ ಮತ್ತು 10ನೇ ಮೊತ್ತ 44 ಆದರೆ ಶ್ರೇಢಿಯ ಮೊದಲ 3 ಪದಗಳನ್ನು ಕಂಡು ಹಿಡಿಯಿರಿ​

Answers

Answered by amitnrw
0

Given : The  sum  of  4th and 8th terms of a AP are24. The sum of  6th and 10th  are 44

To find :   the first 3 terms of the series.

Solution:

AP  is

a , a + d , a + 2d . ___________

first term = a

common difference = d

aₙ = a + ( n - 1) d

The  sum  of  4th and 8th terms = 24

=>  a  + 3d  + a + 7d  = 24

=> 2a + 10d = 24

=> a + 5d  = 12   Eq1

sum of  6th and 10th  are 44

=> a + 5d  +  a  + 9d  = 44

=> 2a + 14d = 44

=> a  + 7d  = 22   Eq2

Eq2 - Eq1

a  + 7d  - ( a + 5d  ) = 22 - 12

=> 2d = 10

=> d = 5

a + 5d  = 12

=> a + 5(5) = 12

=> a =  - 13

first 3 terms of the series.  

-13 , - 8  , - 5

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