Question

if a5 - a3 = 14 and seventh term of ap is 22 then the first term of ap is

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given :  a₅ - a₃  = 14

7th term of AP is 22

To Find : First term of AP

Solution:

First term of AP = a

Common difference = d

aₙ = a + ( n - 1) d

a₅ = a + ( 5 - 1) d  = a + 4d

a₃ = a + ( 3 - 1) d  = a + 2d

a₅ - a₃  = 14

=> (a + 4d) - (a + 2d)  = 14

=> 2d  = 14

=> d = 7

7th term of AP is 22

a₇ = a + 6d  = 22

=> a + 6(7)  = 22

=> a + 42 = 22

=> a = - 20

first term of ap is -20

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