Math, asked by pavan5327, 11 months ago

Determine the AP whose fifth term is 19 and the difference of the eighth term from the thirteenth term is 20.


Answers

Answered by KhataranakhKhiladi2
8

Let a and d are first term and common difference of an A . P.

nth term = tn = a + ( n - 1 )d----------( 1 )

i) Given t 5 = 19

a + 4d = 19 -------(2)

ii ) differnce of the eighth term from

the thirteeth term = 20

t 13 - t 8 = 20

a + 12d - ( a + 7d ) = 20

a + 12d - a - 7d = 20

5d = 20

d = 20/ 5

d = 5

Put d = 5 in ( 2 )

a + 4d = 19

a + 4 × 5 = 19

a + 20 = 19

a = 19 - 20

a = - 1

Therefore,

a = -1 , d = 5

Required A .P is

a , a+ d , a + 2d , a + 3d , .....

-1 , 4 , 9 , 14, 19 , ....

Answered by Anonymous
0

Answer:

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