Question

find the sum of A.P. a1, a2, a3, ....a30. Given that a1 + a7 + a10 + a21 + a24 + a30 = 540.​

Answer 1

Step-by-step explanation:

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Answer 2

2700 will be sum of AP if Given that a1 + a7 + a10 + a21 + a24 + a30 = 540

Step-by-step explanation:

a7  =  a1 + 6d

a10 = a1  + 9d

a21 = a1  + 20d

a24 = a1 + 23d

a30 = a1 + 29 d

a1 + a7 + a10 + a21 + a24 + a30 = 540

=> a1 + a1 + 6d + a1 + 9d + a1 + 20d + a1 + 23d + a1 + 29d  = 540

=> 6a1 + 87d  = 540

=> 2a1 + 29 = 180

Sum from a1 to a30

= (n/2)(a  + a + (n-1)d)

= (30/2)( 2a1 + 29d)

= 15 * 180

= 2700

2700 will be sum of AP

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