Question

15 th term of an AP x-7,x-2,x+3,.........is?

Answer 1

the answer is X + 63

Answer 2

Solution :

Given A.P :

x - 7 , x - 2 , x + 3 , .....

First term ( a ) = x - 7 ,

Common difference ( d ) = a2 - a1

= x - 2 - ( x - 7 )

= x - 2 - x + 7

d = 5

Given n = 15 ,

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We know that

nth term of A.P = an = a + ( n - 1 )d

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a15 = x - 7 + ( 15 - 1 )5

= x - 7 + 14 × 5

= x - 7 + 70

= x + 63

Therefore ,

15th term in given A.P is x + 63 .

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