Flag Magical Mathematics[Interesting Approach]> Consider an A.P. with first term 'a' and ...
question mark

Consider an A.P. with first term 'a' and the common difference 'd'. Let Sk denote the sum of its first K
terms. If
x
kx
S
S
is independent of x, then
(A) a = d/2 (B) a = d (C) a = 2d (D) none

Henry Kashyap , 10 Years ago
Grade 11
anser 4 Answers
Nishant Vora

Last Activity: 10 Years ago

Hello Student,

can you please specify the condition in the question properly becoz its not clear

Thank you

Henry Kashyap

Last Activity: 10 Years ago

okay here the question again...Q.Consider an A.P. with first term 'a' and the common difference 'd'. Let Sk denote the sum of its first Kterms. If Skx/Sx is independent of x then which one is correct ?A) a = d/2 (B) a = d (C) a = 2d (D) none
thankyou in advance

Nishant Vora

Last Activity: 10 Years ago

Hello student,

\frac{Skx}{Sx} = \frac{\frac{kx}{2} (2a + (kx-1)d)}{\frac{x}{2}(2a + (x-1)d)}

\frac{Skx}{Sx} = \frac{k(2a + (kx-1)d)}{(2a + (x-1)d)}

\frac{Skx}{Sx} = \frac{k(2a -d + kxd)}{(2a - d + xd)}
Now this will be independent of ‘x‘ only when 2a=d
Option (A)

Herb

Last Activity: 8 Years ago

That is option -D because 2d/a=1
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