Math, asked by Anonymous, 8 months ago

If the second term of an AP is 8 and 5th term is 17, find its 19th term.

Answers

Answered by rakshithabs10
7

Step-by-step explanation:

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Answered by Anonymous
9

Answer:

59

Step-by-step explanation:

Given there is an AP.

Also given that,

2nd term of the AP = 8

5th term of the AP = 17

To find the 19th term.

We know that,

nth term of an AP is given by,

  • a_n = a + (n-1)d

Where,

  • a = first term
  • d = common Difference

Therefore, we will get,

=> a_2 = a+(2-1)d

=> a + d = 8 ........(1)

And,

=> a_5 = a+(5-1)d

=> a + 4d = 17 ......(2)

Subtracting eqn (1) from (2), we will get,

=> 4d-d = 17-8

=> 3d = 9

=> d = 9/3

=> d = 3

Substituting this value in eqn (1), we will get,

=> a + 3 = 8

=> a = 8-3

=> a = 5

Therefore, we will get,

=> a_19 = a+(19-1)d

=> a_19 = a+18d

=> a_19 = 5 +3(18)

=> a_19 = 5+54

=> a_19 = 59

Hence, the required answer is 59

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