Question

in an ap the first term is 2 the last term is 29.the sum of the terms is 155.find the the common difference

Answer 1

Hop this will help you

Answer 2

Heya....

Here's your answer....

a = 2

an = 29

Sn = 155

Sn = n / 2 ( a + l )

=> 155 = n / 2 ( 2 + 29 )

=> 155 * 2 = 31 n

=> 310 = 31n

=> 310/31 = n

∴ n = 10

so, a = 2

a₁₀ = a + 9 d

=> a + 9d = 29

=> 2 + 9d = 29

=> 9d = 29 - 2

=> 9d = 27

=> d = 27/9

∴ d = 3

Thanks...!!!

XD

Sorry baby 'wink'