find the value of a,b,c such that the number a,7,b,23 and c is A.P
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accorting to you, AP = a,7,b,23,c
common difference = a2- a1 = a4 - a3
so
7-a = 23-b
7-23 = -b+a
16 = a - b................. (1)
also a2 - a1 = a3- a2
7- a = b-7
14= b+ a.................(2)
eliminating
a+b = 14
a- b = 16
-------------
2b = -2
b = -1
putting value of b in 1
16 = a + 1
15 = a
common difference = a2- a1 = a4 - a3
so
7-a = 23-b
7-23 = -b+a
16 = a - b................. (1)
also a2 - a1 = a3- a2
7- a = b-7
14= b+ a.................(2)
eliminating
a+b = 14
a- b = 16
-------------
2b = -2
b = -1
putting value of b in 1
16 = a + 1
15 = a
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