the sum of 4th and 8th terms of ap is 24 and the sum of 6th and 10th terms is 44 find 1st three terms
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Answered by
6
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HOPE IT HELPS YOU.......
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dhwaj8412:
plzz solve this question also find middle term of ap: 6,13,20,....,216
okk wait a while
a=6,d=7,216=6+(n-1)d =>n=31,middle term=31/2+1/2=16th term =>a16=6+15*7=111
111 is the middle term....
thanks
Np
Answered by
3
Answer:
- 13 , - 8 , - 3 .
Step-by-step explanation:
Let the first term a and common difference be d.
We know :
t_n = a + ( n - 1 ) d
t_4 = a + 3 d
t_8 = a + 7 d
We have given :
t_4 + t_8 = 24
2 a + 10 d = 24
a + 5 d = 12
a = 12 - 5 d ....( i )
t_6 = a + 5 d
t_10 = a + 9 d
: t_6 + t_10 = 44
2 a + 14 d = 44
a + 7 d = 22
a = 22 - 7 d ... ( ii )
From ( i ) and ( ii )
12 - 5 d = 22 - 7 d
7 d - 5 d = 22 - 12
2 d = 10
d = 5
We have :
a = 12 - 5 d
a = 12 - 25
a = - 13
Now required answer as :
- 13 , - 8 , - 3 .
Finally we get answer.
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