help me plss my frnds
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2........
given 3rd term = 4
i.e, a+2d=4 ---- 1
and 9th term = -8
i.e., a+8d=-8 ------------- 2
by by subtacting 1 and 2 we get,
a+2d = 4
a+8d = -8
- - +
----------------
-6d = 12
---------------
so, d = -12/6
d = -2
substitute it in (1) we get,
a+2(-2) = 4
a = 4+4 =8
a=8
here we get a=8
2nd term = a+d = 8+(-2) = 8-2 = 6
3d term = a+2d = 8+2(-2) = 8-4 = 4
4th term = a+3d = 8+2(-3) = 8-6 = 2
5th term = a+4d = 8+2(-4) = 8-8 =0
6th term = a+5d =8+5(-2) = 8-10 = -2 .......
so the series we got is 8,6,4,2,0,-2.....
here we get zero at 5th place
so, 5th number in the series is 0
3.........
Given, a3 = 12 and a50 = 106
a3 = a + 2d = 12
a50 = a + 49d = 106
Subtracting 3rd term from 50th term, we get;
a + 49d – a – 2d = 106 – 12
Or, 47d = 94
Or, d = 2
Substituting the value of d in 12th term, we get;
a + 2 x 2 = 12
Or, a + 4 = 12
Or, a = 8
Now, 29th term can be calculated as follows:
a29 = a + 28d
= 8 + 28 x 2
= 8 + 56 = 64
5.........
Here it is an AP
a = 4
d = 2
n = 10
Sum of the first 10 terms
= (n/2)[2a+(n-1)d]
=(10/2)[(2x4)+(10-1)2]
=5[8+18]
=130
6.......
n=20 , an=57, a=3
sn=n/2 ( a+l)
=20/2(3+57)
=10(60)
=600