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question for maths expert....
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As no of terms is even
So no of terms at odd places and even places would be same
let it be n
So total no of terms = 2n
Sum of n terms = 24
n/2 ( 2a + ( n-1)2d) = 24
n( a + ( n-1)d) = 24
As odd places difference would be double
Also n/2( 2( a+d) +( n-1) 2d) = 30
as first even term is a+d
n( a + d + (n-1)d)= 30
n( a + (n-1)d) + nd = 30
24 + nd = 30
nd = 6
As last term = first term +10.5
a + ( 2n-1)d = a + 10.5
2nd - d = 10.5
12 - d = 10.5
d = 1.5
n = 6/1.5 = 4
So no of terms = 2n = 8
So no of terms at odd places and even places would be same
let it be n
So total no of terms = 2n
Sum of n terms = 24
n/2 ( 2a + ( n-1)2d) = 24
n( a + ( n-1)d) = 24
As odd places difference would be double
Also n/2( 2( a+d) +( n-1) 2d) = 30
as first even term is a+d
n( a + d + (n-1)d)= 30
n( a + (n-1)d) + nd = 30
24 + nd = 30
nd = 6
As last term = first term +10.5
a + ( 2n-1)d = a + 10.5
2nd - d = 10.5
12 - d = 10.5
d = 1.5
n = 6/1.5 = 4
So no of terms = 2n = 8
Anonymous:
Thanks :)
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