Question

U AP is 19, find th
18. The sum of second and fifth terms of an AP is 22 and the sum of is fourth and mint
terms is 46. Find the AP.
5 times the 5th term of the AP, then she​

Answer 1

Answer:

AP is 1,5,9,13,...

Step-by-step explanation:

I will take the question as:

Sum of second and fifth terms of an AP is 22 and the sum of is fourth and ninth terms is 46. Find the AP.

Solution:

Given, t₂ + t₅ = 22

=> a+d + a+4d = 22

=> 2a+5d = 22  --------- (1)

  also, t₄ + t₉ = 46

=> a+3d + a+8d = 46

=> 2a + 11d = 46 ---------(2)

(2) - (1)

=> (2a + 11d) - (2a+5d) = 46 - 22

=> 11d - 5d = 24

=> 6d = 24

=> d = 24/6

=> d = 4

substitute the value , d=4 in  (1)

=> 2a + 5(4) = 22

=> 2a+20 = 22

=> 2a = 22-20

=> 2a = 2

=> a=1

so, the AP is , a, a+d , a+2d, a+3d , ...

=> 1, 1+4 , 1+2(4) , 1+3(4),...

=> 1,5,9,13,...