2) 2x+1 , 4x-1, 5x+1 are in arithmetic sequence.
a) Find x
b) Write the sequence.
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We know, in any AP,
2 * any term = previous term + next term
Applying the same identity here,
= > 2( 4x - 1 ) = ( 2x + 1 ) + ( 5x + 1 )
= > 8x - 2 = 2x + 5x + 1 + 1
= > 8x - 7x = 2 + 2
= > x = 4
Hence the required value of x is 4.
Sequence is:
2x + 1 = 2(4) + 1 = 9
4x - 1 = 4(4) - 1 = 15
5x + 1 = 5(4) + 1 = 21
a) 4
b) 9,15,21....
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