Math, asked by shridevishinde248, 10 months ago

The 8th term
the common
of an Ap is 17 and 19th term is 39. Find common
difference?​

Answers

Answered by viny10
7

Answer:

d=2

Step-by-step explanation:

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Answered by Anonymous
2

<body bgcolor ="r"> <font color =pink>Hi...☺

Here is your answer...✌

GIVEN THAT,

T8 = 17 and T19 = 39

T8 = 17

a + 7d = 17

a = 17 - 7d -----(1)

and

T19 = 39

a + 18d = 39

17 - 7d + 18d = 39 ___ [ from (1) ]

11d = 39-17 = 22

d = 22/11

d = 2

Putting d = 2 in eq(1)

we get

a = 17 - 7(2) = 17 - 14

a = 3

Now,

T25 = a + 24d

= 3 + 24×2 = 3 + 48

= 51

HENCE,

25th term of Given AP is 51

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